468200480 has 48 divisors (see below), whose sum is σ = 1206684864. Its totient is φ = 170254080.

The previous prime is 468200477. The next prime is 468200501. The reversal of 468200480 is 84002864.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131252 + ... + 134771.

It is an arithmetic number, because the mean of its divisors is an integer number (25139268).

Almost surely, 2^468200480 is an apocalyptic number.

468200480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468200480 is an abundant number, since it is smaller than the sum of its proper divisors (738484384).

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

468200480 is a wasteful number, since it uses less digits than its factorization.

468200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266049 (or 266041 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 468200480 is about 21637.9407522990. The cubic root of 468200480 is about 776.5044546528.

The spelling of 468200480 in words is "four hundred sixty-eight million, two hundred thousand, four hundred eighty".