400251040 has 96 divisors (see below), whose sum is σ = 1118033280. Its totient is φ = 132486144.

The previous prime is 400251031. The next prime is 400251079. The reversal of 400251040 is 40152004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26319 + ... + 38641.

It is an arithmetic number, because the mean of its divisors is an integer number (11646180).

Almost surely, 2^400251040 is an apocalyptic number.

400251040 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 400251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559016640).

400251040 is an abundant number, since it is smaller than the sum of its proper divisors (717782240).

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

400251040 is a wasteful number, since it uses less digits than its factorization.

400251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12374 (or 12366 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 400251040 is about 20006.2750156045. The cubic root of 400251040 is about 736.9604073712.

The spelling of 400251040 in words is "four hundred million, two hundred fifty-one thousand, forty".