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400978401 = 3413259987
BaseRepresentation
bin10111111001100…
…111000111100001
31000221111210221220
4113321213013201
51310122302101
6103442205253
712636155145
oct2771470741
91027453856
10400978401
1119638400a
12b2353829
13650c4a35
143b37b225
1525308636
hex17e671e1

400978401 has 8 divisors (see below), whose sum is σ = 547677984. Its totient is φ = 260798880.

The previous prime is 400978399. The next prime is 400978421. The reversal of 400978401 is 104879004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400978401 - 21 = 400978399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400978421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629871 + ... + 1630116.

It is an arithmetic number, because the mean of its divisors is an integer number (68459748).

Almost surely, 2400978401 is an apocalyptic number.

400978401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400978401 is a deficient number, since it is larger than the sum of its proper divisors (146699583).

400978401 is a wasteful number, since it uses less digits than its factorization.

400978401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260031.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 400978401 is about 20024.4450859443. The cubic root of 400978401 is about 737.4065539364.

The spelling of 400978401 in words is "four hundred million, nine hundred seventy-eight thousand, four hundred one".

Divisors: 1 3 41 123 3259987 9779961 133659467 400978401