55458400 has 72 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 22003200.

The previous prime is 55458391. The next prime is 55458409. The reversal of 55458400 is 485455.

It is an interprime number because it is at equal distance from previous prime (55458391) and next prime (55458409).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55458409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144609 + ... + 144991.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^55458400 is an apocalyptic number.

55458400 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 55458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

55458400 is an abundant number, since it is smaller than the sum of its proper divisors (81032864).

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

55458400 is a wasteful number, since it uses less digits than its factorization.

55458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 55458400 is about 7447.0396803025. The cubic root of 55458400 is about 381.3488536997.

The spelling of 55458400 in words is "fifty-five million, four hundred fifty-eight thousand, four hundred".