401388520 has 48 divisors (see below), whose sum is σ = 977955660. Its totient is φ = 148202496.

The previous prime is 401388503. The next prime is 401388523. The reversal of 401388520 is 25883104.

It can be written as a sum of positive squares in 6 ways, for example, as 116251524 + 285136996 = 10782^2 + 16886^2 .

It is a super-2 number, since 2×401388520² = 322225487975580800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401388523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22929 + ... + 36448.

Almost surely, 2^401388520 is an apocalyptic number.

401388520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401388520 is an abundant number, since it is smaller than the sum of its proper divisors (576567140).

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

401388520 is a wasteful number, since it uses less digits than its factorization.

401388520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59414 (or 59397 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 401388520 is about 20034.6829273637. The cubic root of 401388520 is about 737.6578737000.

The spelling of 401388520 in words is "four hundred one million, three hundred eighty-eight thousand, five hundred twenty".