51920400 has 180 divisors, whose sum is σ = 193691472. Its totient is φ = 11854080.

The previous prime is 51920389. The next prime is 51920417. The reversal of 51920400 is 402915.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58359 + ... + 59241.

Almost surely, 2^51920400 is an apocalyptic number.

51920400 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 51920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96845736).

51920400 is an abundant number, since it is smaller than the sum of its proper divisors (141771072).

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

51920400 is a wasteful number, since it uses less digits than its factorization.

51920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51920400 is about 7205.5811701764. The cubic root of 51920400 is about 373.0605646443.

The spelling of 51920400 in words is "fifty-one million, nine hundred twenty thousand, four hundred".