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401670720 = 263251131409
BaseRepresentation
bin10111111100010…
…000001001000000
31000222210222122100
4113330100021000
51310311430340
6103505110400
712645100443
oct2774201100
91028728570
10401670720
11196807180
12b2628400
13652a7ba9
143b4bb65a
15253e3830
hex17f10240

401670720 has 336 divisors, whose sum is σ = 1559600640. Its totient is φ = 94003200.

The previous prime is 401670707. The next prime is 401670743. The reversal of 401670720 is 27076104.

It is a super-2 number, since 2×4016707202 = 322678734610636800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981876 + ... + 982284.

Almost surely, 2401670720 is an apocalyptic number.

401670720 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 401670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779800320).

401670720 is an abundant number, since it is smaller than the sum of its proper divisors (1157929920).

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

401670720 is a wasteful number, since it uses less digits than its factorization.

401670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 401670720 is about 20041.7244767011. The cubic root of 401670720 is about 737.8307056538.

The spelling of 401670720 in words is "four hundred one million, six hundred seventy thousand, seven hundred twenty".