55462400 has 120 divisors (see below), whose sum is σ = 157296480. Its totient is φ = 18984960.

The previous prime is 55462339. The next prime is 55462403. The reversal of 55462400 is 426455.

It is a self number, because there is not a number n which added to its sum of digits gives 55462400.

It is not an unprimeable number, because it can be changed into a prime (55462403) 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, 89291 + ... + 89909.

It is an arithmetic number, because the mean of its divisors is an integer number (1310804).

Almost surely, 2^55462400 is an apocalyptic number.

55462400 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 55462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78648240).

55462400 is an abundant number, since it is smaller than the sum of its proper divisors (101834080).

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

55462400 is an equidigital number, since it uses as much as digits as its factorization.

55462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 55462400 is about 7447.3082385517. The cubic root of 55462400 is about 381.3580218855.

Adding to 55462400 its reverse (426455), we get a palindrome (55888855).

The spelling of 55462400 in words is "fifty-five million, four hundred sixty-two thousand, four hundred".