55402400 has 72 divisors (see below), whose sum is σ = 141178464. Its totient is φ = 21190400.

The previous prime is 55402397. The next prime is 55402409. The reversal of 55402400 is 420455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (55402409) 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, 16895 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (1960812).

Almost surely, 2^55402400 is an apocalyptic number.

55402400 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 55402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70589232).

55402400 is an abundant number, since it is smaller than the sum of its proper divisors (85776064).

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

55402400 is a wasteful number, since it uses less digits than its factorization.

55402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 55402400 is about 7443.2788473898. The cubic root of 55402400 is about 381.2204527849.

Adding to 55402400 its reverse (420455), we get a palindrome (55822855).

The spelling of 55402400 in words is "fifty-five million, four hundred two thousand, four hundred".