401612800 has 168 divisors, whose sum is σ = 1042155396. Its totient is φ = 153354240.

The previous prime is 401612749. The next prime is 401612831. The reversal of 401612800 is 8216104.

It can be written as a sum of positive squares in 6 ways, for example, as 279023616 + 122589184 = 16704^2 + 11072^2 .

It is a super-2 number, since 2×401612800² = 322585682247680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7577574 + ... + 7577626.

Almost surely, 2^401612800 is an apocalyptic number.

401612800 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 401612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521077698).

401612800 is an abundant number, since it is smaller than the sum of its proper divisors (640542596).

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

401612800 is an equidigital number, since it uses as much as digits as its factorization.

401612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 401612800 is about 20040.2794391695. The cubic root of 401612800 is about 737.7952394484.

Adding to 401612800 its reverse (8216104), we get a palindrome (409828904).

The spelling of 401612800 in words is "four hundred one million, six hundred twelve thousand, eight hundred".