401257872 has 30 divisors (see below), whose sum is σ = 1122965142. Its totient is φ = 133752576.

The previous prime is 401257861. The next prime is 401257873. The reversal of 401257872 is 278752104.

401257872 is a `hidden beast` number, since 4 + 0 + 12 + 578 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240374016 + 160883856 = 15504^2 + 12684^2 .

It is a super-2 number, since 2×401257872² = 322015759683936768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401257873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1393113 + ... + 1393400.

Almost surely, 2^401257872 is an apocalyptic number.

It is an amenable number.

401257872 is an abundant number, since it is smaller than the sum of its proper divisors (721707270).

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

401257872 is a wasteful number, since it uses less digits than its factorization.

401257872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786527 (or 2786518 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 401257872 is about 20031.4221162652. The cubic root of 401257872 is about 737.5778315637.

The spelling of 401257872 in words is "four hundred one million, two hundred fifty-seven thousand, eight hundred seventy-two".