51402800 has 60 divisors (see below), whose sum is σ = 124753176. Its totient is φ = 20352000.

The previous prime is 51402797. The next prime is 51402803. The reversal of 51402800 is 820415.

It is an interprime number because it is at equal distance from previous prime (51402797) and next prime (51402803).

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 (51402803) 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, 42200 + ... + 43400.

Almost surely, 2^51402800 is an apocalyptic number.

51402800 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 51402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62376588).

51402800 is an abundant number, since it is smaller than the sum of its proper divisors (73350376).

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

51402800 is a wasteful number, since it uses less digits than its factorization.

51402800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 51402800 is about 7169.5746038381. The cubic root of 51402800 is about 371.8167286235.

The spelling of 51402800 in words is "fifty-one million, four hundred two thousand, eight hundred".