51459408 has 480 divisors, whose sum is σ = 213736320. Its totient is φ = 11612160.

The previous prime is 51459371. The next prime is 51459413. The reversal of 51459408 is 80495415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027016 + ... + 3027032.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^51459408 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 51459408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

51459408 is an abundant number, since it is smaller than the sum of its proper divisors (162276912).

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

51459408 is a wasteful number, since it uses less digits than its factorization.

51459408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51459408 is about 7173.5213110438. The cubic root of 51459408 is about 371.9531678817.

The spelling of 51459408 in words is "fifty-one million, four hundred fifty-nine thousand, four hundred eight".