401257864 has 64 divisors (see below), whose sum is σ = 882000000. Its totient is φ = 171065664.

The previous prime is 401257861. The next prime is 401257873. The reversal of 401257864 is 468752104.

It is a super-2 number, since 2×401257864² = 322015746843684992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401257861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957447 + ... + 957865.

It is an arithmetic number, because the mean of its divisors is an integer number (13781250).

Almost surely, 2^401257864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401257864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441000000).

401257864 is an abundant number, since it is smaller than the sum of its proper divisors (480742136).

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

401257864 is a wasteful number, since it uses less digits than its factorization.

401257864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 401257864 is about 20031.4219165790. The cubic root of 401257864 is about 737.5778266619.

The spelling of 401257864 in words is "four hundred one million, two hundred fifty-seven thousand, eight hundred sixty-four".