464477328 has 100 divisors (see below), whose sum is σ = 1536409600. Its totient is φ = 132705216.

The previous prime is 464477303. The next prime is 464477339. The reversal of 464477328 is 823774464.

It is a nude number because it is divisible by every one of its digits.

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, 16528 + ... + 34671.

It is an arithmetic number, because the mean of its divisors is an integer number (15364096).

Almost surely, 2^464477328 is an apocalyptic number.

464477328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

464477328 is an abundant number, since it is smaller than the sum of its proper divisors (1071932272).

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

464477328 is a wasteful number, since it uses less digits than its factorization.

464477328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51226 (or 51211 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 464477328 is about 21551.7360785622. The cubic root of 464477328 is about 774.4407080944.

The spelling of 464477328 in words is "four hundred sixty-four million, four hundred seventy-seven thousand, three hundred twenty-eight".