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400670080 = 275709883
BaseRepresentation
bin10111111000011…
…011110110000000
31000220221011000121
4113320123312000
51310032420310
6103431430024
712633432226
oct2770336600
91026834017
10400670080
111961933a8
12b2225314
13650175b5
143b2dab16
15252970da
hex17e1bd80

400670080 has 64 divisors (see below), whose sum is σ = 960289200. Its totient is φ = 159860736.

The previous prime is 400670069. The next prime is 400670113. The reversal of 400670080 is 80076004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453319 + ... + 454201.

Almost surely, 2400670080 is an apocalyptic number.

400670080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480144600).

400670080 is an abundant number, since it is smaller than the sum of its proper divisors (559619120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400670080 is an equidigital number, since it uses as much as digits as its factorization.

400670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 400670080 is about 20016.7449901326. The cubic root of 400670080 is about 737.2175028354.

The spelling of 400670080 in words is "four hundred million, six hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 709 883 1418 1766 2836 3532 3545 4415 5672 7064 7090 8830 11344 14128 14180 17660 22688 28256 28360 35320 45376 56512 56720 70640 90752 113024 113440 141280 226880 282560 453760 565120 626047 1252094 2504188 3130235 5008376 6260470 10016752 12520940 20033504 25041880 40067008 50083760 80134016 100167520 200335040 400670080