400800576 has 224 divisors, whose sum is σ = 1245339648. Its totient is φ = 112527360.

The previous prime is 400800571. The next prime is 400800577. The reversal of 400800576 is 675008004.

It is a happy number.

It is a super-2 number, since 2×400800576² = 321282203443863552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400800571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797201 + ... + 1797423.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2^400800576 is an apocalyptic number.

400800576 is a gapful number since it is divisible by the number (46) 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 400800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824).

400800576 is an abundant number, since it is smaller than the sum of its proper divisors (844539072).

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

400800576 is a wasteful number, since it uses less digits than its factorization.

400800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 400800576 is about 20020.0043956039. The cubic root of 400800576 is about 737.2975300179.

The spelling of 400800576 in words is "four hundred million, eight hundred thousand, five hundred seventy-six".