55038464 has 40 divisors (see below), whose sum is σ = 118442940. Its totient is φ = 25399296.

The previous prime is 55038461. The next prime is 55038481. The reversal of 55038464 is 46483055.

It can be written as a sum of positive squares in 2 ways, for example, as 54878464 + 160000 = 7408^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (55038461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2522 + ... + 10790.

Almost surely, 2^55038464 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 55038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59221470).

55038464 is an abundant number, since it is smaller than the sum of its proper divisors (63404476).

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

55038464 is an equidigital number, since it uses as much as digits as its factorization.

55038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 55038464 is about 7418.7912762120. The cubic root of 55038464 is about 380.3838780018.

The spelling of 55038464 in words is "fifty-five million, thirty-eight thousand, four hundred sixty-four".