62400468 has 48 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 19115904.

The previous prime is 62400467. The next prime is 62400469. The reversal of 62400468 is 86400426.

It is an interprime number because it is at equal distance from previous prime (62400467) and next prime (62400469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62400461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41221 + ... + 42707.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^62400468 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 62400468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

62400468 is an abundant number, since it is smaller than the sum of its proper divisors (95089452).

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

62400468 is a wasteful number, since it uses less digits than its factorization.

62400468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 62400468 is about 7899.3966858235. The cubic root of 62400468 is about 396.6394881299.

The spelling of 62400468 in words is "sixty-two million, four hundred thousand, four hundred sixty-eight".