51400624 has 60 divisors (see below), whose sum is σ = 114802920. Its totient is φ = 22106880.

The previous prime is 51400621. The next prime is 51400627. The reversal of 51400624 is 42600415.

51400624 = 1232² + 1233² + ... + 1264².

It is an interprime number because it is at equal distance from previous prime (51400621) and next prime (51400627).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 51400595 and 51400604.

It is not an unprimeable number, because it can be changed into a prime (51400621) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63132 + ... + 63940.

It is an arithmetic number, because the mean of its divisors is an integer number (1913382).

Almost surely, 2^51400624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57401460).

51400624 is an abundant number, since it is smaller than the sum of its proper divisors (63402296).

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

51400624 is a wasteful number, since it uses less digits than its factorization.

51400624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 51400624 is about 7169.4228498534. The cubic root of 51400624 is about 371.8114819274.

The spelling of 51400624 in words is "fifty-one million, four hundred thousand, six hundred twenty-four".