468294520 has 64 divisors (see below), whose sum is σ = 1119492000. Its totient is φ = 175799808.

The previous prime is 468294443. The next prime is 468294521. The reversal of 468294520 is 25492864.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468294521) 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, 80014 + ... + 85666.

Almost surely, 2^468294520 is an apocalyptic number.

468294520 is a gapful number since it is divisible by the number (40) 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 468294520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559746000).

468294520 is an abundant number, since it is smaller than the sum of its proper divisors (651197480).

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

468294520 is a wasteful number, since it uses less digits than its factorization.

468294520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 468294520 is about 21640.1136780748. The cubic root of 468294520 is about 776.5564392147.

The spelling of 468294520 in words is "four hundred sixty-eight million, two hundred ninety-four thousand, five hundred twenty".