400921080 has 128 divisors (see below), whose sum is σ = 1378944000. Its totient is φ = 91348992.

The previous prime is 400921069. The next prime is 400921111. The reversal of 400921080 is 80129004.

400921080 = T₂₈₁ + T₂₈₂ + ... + T₁₃₄₃.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400921080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 376629 + ... + 377691.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^400921080 is an apocalyptic number.

400921080 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 400921080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

400921080 is an abundant number, since it is smaller than the sum of its proper divisors (978022920).

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

400921080 is a wasteful number, since it uses less digits than its factorization.

400921080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 400921080 is about 20023.0137591722. The cubic root of 400921080 is about 737.3714141423.

The spelling of 400921080 in words is "four hundred million, nine hundred twenty-one thousand, eighty".