656253444 has 192 divisors, whose sum is σ = 1986969600. Its totient is φ = 163658880.

The previous prime is 656253443. The next prime is 656253463. The reversal of 656253444 is 444352656.

It is a super-2 number, since 2×656253444² = 861337165523722272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (656253443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3297657 + ... + 3297855.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2^656253444 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 656253444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993484800).

656253444 is an abundant number, since it is smaller than the sum of its proper divisors (1330716156).

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

656253444 is a wasteful number, since it uses less digits than its factorization.

656253444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 656253444 is about 25617.4441348078. Note that the first 3 decimals coincide. The cubic root of 656253444 is about 869.0081814013.

It can be divided in two parts, 6562 and 53444, that added together give a palindrome (60006).

The spelling of 656253444 in words is "six hundred fifty-six million, two hundred fifty-three thousand, four hundred forty-four".