400764000 has 384 divisors, whose sum is σ = 1620283392. Its totient is φ = 84326400.

The previous prime is 400763947. The next prime is 400764019. The reversal of 400764000 is 467004.

It is a super-2 number, since 2×400764000² = 321223567392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091817 + ... + 1092183.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^400764000 is an apocalyptic number.

400764000 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 400764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810141696).

400764000 is an abundant number, since it is smaller than the sum of its proper divisors (1219519392).

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

400764000 is a wasteful number, since it uses less digits than its factorization.

400764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400764000 is about 20019.0908884495. The cubic root of 400764000 is about 737.2751013951.

The spelling of 400764000 in words is "four hundred million, seven hundred sixty-four thousand".