468042624 has 160 divisors (see below), whose sum is σ = 1592118000. Its totient is φ = 133705728.

The previous prime is 468042587. The next prime is 468042643. The reversal of 468042624 is 426240864.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 69352 + ... + 75800.

Almost surely, 2^468042624 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 468042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796059000).

468042624 is an abundant number, since it is smaller than the sum of its proper divisors (1124075376).

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

468042624 is an equidigital number, since it uses as much as digits as its factorization.

468042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 468042624 is about 21634.2927779024. The cubic root of 468042624 is about 776.4171774637.

The spelling of 468042624 in words is "four hundred sixty-eight million, forty-two thousand, six hundred twenty-four".