53957904 has 160 divisors (see below), whose sum is σ = 187321344. Its totient is φ = 12925440.

The previous prime is 53957863. The next prime is 53957909. The reversal of 53957904 is 40975935.

It is a super-2 number, since 2×53957904² = 5822910808146432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53957909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47487 + ... + 48609.

Almost surely, 2^53957904 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 53957904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93660672).

53957904 is an abundant number, since it is smaller than the sum of its proper divisors (133363440).

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

53957904 is a wasteful number, since it uses less digits than its factorization.

53957904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 53957904 is about 7345.6043999116. The cubic root of 53957904 is about 377.8780715899.

The spelling of 53957904 in words is "fifty-three million, nine hundred fifty-seven thousand, nine hundred four".