400287974400 has 792 divisors, whose sum is σ = 1496772950400. Its totient is φ = 102083788800.

The previous prime is 400287974399. The next prime is 400287974431. The reversal of 400287974400 is 4479782004.

400287974400 is a `hidden beast` number, since 40 + 0 + 2 + 87 + 97 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 928742185 + ... + 928742615.

Almost surely, 2^400287974400 is an apocalyptic number.

400287974400 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 400287974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748386475200).

400287974400 is an abundant number, since it is smaller than the sum of its proper divisors (1096484976000).

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

400287974400 is a wasteful number, since it uses less digits than its factorization.

400287974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 400287974400 in words is "four hundred billion, two hundred eighty-seven million, nine hundred seventy-four thousand, four hundred".