401428800 has 252 divisors, whose sum is σ = 1453335676. Its totient is φ = 105062400.

The previous prime is 401428733. The next prime is 401428813. The reversal of 401428800 is 8824104.

It can be written as a sum of positive squares in 6 ways, for example, as 22581504 + 378847296 = 4752^2 + 19464^2 .

It is a super-2 number, since 2×401428800² = 322290162938880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878172 + ... + 878628.

Almost surely, 2^401428800 is an apocalyptic number.

401428800 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 401428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726667838).

401428800 is an abundant number, since it is smaller than the sum of its proper divisors (1051906876).

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

401428800 is a wasteful number, since it uses less digits than its factorization.

401428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 401428800 is about 20035.6881588829. The cubic root of 401428800 is about 737.6825479361.

It can be divided in two parts, 401 and 428800, that added together give a triangular number (429201 = T₉₂₆).

The spelling of 401428800 in words is "four hundred one million, four hundred twenty-eight thousand, eight hundred".