51620400 has 180 divisors, whose sum is σ = 193091808. Its totient is φ = 12695040.

The previous prime is 51620389. The next prime is 51620423. The reversal of 51620400 is 402615.

It is a happy number.

51620400 is a `hidden beast` number, since 5 + 1 + 620 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46249 + ... + 47351.

Almost surely, 2^51620400 is an apocalyptic number.

51620400 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 51620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96545904).

51620400 is an abundant number, since it is smaller than the sum of its proper divisors (141471408).

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

51620400 is a wasteful number, since it uses less digits than its factorization.

51620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51620400 is about 7184.7338155286. The cubic root of 51620400 is about 372.3406522320.

The spelling of 51620400 in words is "fifty-one million, six hundred twenty thousand, four hundred".