51414600 has 48 divisors (see below), whose sum is σ = 159387120. Its totient is φ = 13710400.

The previous prime is 51414577. The next prime is 51414619. The reversal of 51414600 is 641415.

It is a super-2 number, since 2×51414600² = 5286922186320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42246 + ... + 43445.

It is an arithmetic number, because the mean of its divisors is an integer number (3320565).

Almost surely, 2^51414600 is an apocalyptic number.

51414600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51414600 is an abundant number, since it is smaller than the sum of its proper divisors (107972520).

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

51414600 is a wasteful number, since it uses less digits than its factorization.

51414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85710 (or 85701 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51414600 is about 7170.3974785224. The cubic root of 51414600 is about 371.8451777982.

The spelling of 51414600 in words is "fifty-one million, four hundred fourteen thousand, six hundred".