401252864 has 80 divisors (see below), whose sum is σ = 839678400. Its totient is φ = 191361024.

The previous prime is 401252837. The next prime is 401252893. The reversal of 401252864 is 468252104.

It is a super-2 number, since 2×401252864² = 322007721736404992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 401252864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117517 + ... + 1117875.

It is an arithmetic number, because the mean of its divisors is an integer number (10495980).

Almost surely, 2^401252864 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 401252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

401252864 is an abundant number, since it is smaller than the sum of its proper divisors (438425536).

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

401252864 is an equidigital number, since it uses as much as digits as its factorization.

401252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 401252864 is about 20031.2971122691. The cubic root of 401252864 is about 737.5747630422.

The spelling of 401252864 in words is "four hundred one million, two hundred fifty-two thousand, eight hundred sixty-four".