55438000 has 80 divisors (see below), whose sum is σ = 136839456. Its totient is φ = 21715200.

The previous prime is 55437997. The next prime is 55438039. The reversal of 55438000 is 83455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105739 + ... + 106261.

Almost surely, 2^55438000 is an apocalyptic number.

55438000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68419728).

55438000 is an abundant number, since it is smaller than the sum of its proper divisors (81401456).

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

55438000 is a wasteful number, since it uses less digits than its factorization.

55438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 55438000 is about 7445.6698825559. The cubic root of 55438000 is about 381.3020890936.

The spelling of 55438000 in words is "fifty-five million, four hundred thirty-eight thousand".