51902400 has 168 divisors, whose sum is σ = 185952384. Its totient is φ = 12569600.

The previous prime is 51902393. The next prime is 51902437. The reversal of 51902400 is 420915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52309 + ... + 53291.

Almost surely, 2^51902400 is an apocalyptic number.

51902400 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 51902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92976192).

51902400 is an abundant number, since it is smaller than the sum of its proper divisors (134049984).

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

51902400 is a wasteful number, since it uses less digits than its factorization.

51902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

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

The square root of 51902400 is about 7204.3320301052. The cubic root of 51902400 is about 373.0174482179.

The spelling of 51902400 in words is "fifty-one million, nine hundred two thousand, four hundred".