468457220 has 48 divisors (see below), whose sum is σ = 1226510208. Its totient is φ = 146012160.

The previous prime is 468457201. The next prime is 468457237. The reversal of 468457220 is 22754864.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150557 + ... + 153636.

It is an arithmetic number, because the mean of its divisors is an integer number (25552296).

Almost surely, 2^468457220 is an apocalyptic number.

It is an amenable number.

468457220 is an abundant number, since it is smaller than the sum of its proper divisors (758052988).

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

468457220 is a wasteful number, since it uses less digits than its factorization.

468457220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304220 (or 304218 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 468457220 is about 21643.8725740104. The cubic root of 468457220 is about 776.6463620431.

The spelling of 468457220 in words is "four hundred sixty-eight million, four hundred fifty-seven thousand, two hundred twenty".