401125416 has 32 divisors (see below), whose sum is σ = 1055594400. Its totient is φ = 126671040.

The previous prime is 401125409. The next prime is 401125453. The reversal of 401125416 is 614521104.

It is a happy number.

It is a super-2 number, since 2×401125416² = 321803198722346112, 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 7 ways as a sum of consecutive naturals, for example, 439375 + ... + 440286.

It is an arithmetic number, because the mean of its divisors is an integer number (32987325).

Almost surely, 2^401125416 is an apocalyptic number.

It is an amenable number.

401125416 is an abundant number, since it is smaller than the sum of its proper divisors (654468984).

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

401125416 is a wasteful number, since it uses less digits than its factorization.

401125416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879689 (or 879685 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 401125416 is about 20028.1156377728. The cubic root of 401125416 is about 737.4966640087.

The spelling of 401125416 in words is "four hundred one million, one hundred twenty-five thousand, four hundred sixteen".