468725004 has 144 divisors (see below), whose sum is σ = 1375605504. Its totient is φ = 133161600.

The previous prime is 468724957. The next prime is 468725029. The reversal of 468725004 is 400527864.

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

It is a self number, because there is not a number n which added to its sum of digits gives 468725004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482239 + ... + 483209.

It is an arithmetic number, because the mean of its divisors is an integer number (9552816).

Almost surely, 2^468725004 is an apocalyptic number.

468725004 is a gapful number since it is divisible by the number (44) 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 468725004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687802752).

468725004 is an abundant number, since it is smaller than the sum of its proper divisors (906880500).

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

468725004 is a wasteful number, since it uses less digits than its factorization.

468725004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 468725004 is about 21650.0578290221. The cubic root of 468725004 is about 776.7943185304.

The spelling of 468725004 in words is "four hundred sixty-eight million, seven hundred twenty-five thousand, four".