401375400 has 48 divisors (see below), whose sum is σ = 1244265600. Its totient is φ = 107033280.

The previous prime is 401375357. The next prime is 401375417. The reversal of 401375400 is 4573104.

It is a super-2 number, since 2×401375400² = 322204423450320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333880 + ... + 335079.

It is an arithmetic number, because the mean of its divisors is an integer number (25922200).

Almost surely, 2^401375400 is an apocalyptic number.

401375400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401375400 is an abundant number, since it is smaller than the sum of its proper divisors (842890200).

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

401375400 is a wasteful number, since it uses less digits than its factorization.

401375400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668978 (or 668969 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 401375400 is about 20034.3554925034. The cubic root of 401375400 is about 737.6498364524.

The spelling of 401375400 in words is "four hundred one million, three hundred seventy-five thousand, four hundred".