55400352 has 96 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 14992128.

The previous prime is 55400347. The next prime is 55400369. The reversal of 55400352 is 25300455.

55400352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10599 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^55400352 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 55400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

55400352 is an abundant number, since it is smaller than the sum of its proper divisors (119588448).

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

55400352 is a wasteful number, since it uses less digits than its factorization.

55400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55400352 is about 7443.1412723393. The cubic root of 55400352 is about 381.2157553404.

The spelling of 55400352 in words is "fifty-five million, four hundred thousand, three hundred fifty-two".