464414920 has 32 divisors (see below), whose sum is σ = 1045550520. Its totient is φ = 185656320.

The previous prime is 464414917. The next prime is 464414933. The reversal of 464414920 is 29414464.

It can be written as a sum of positive squares in 4 ways, for example, as 409091076 + 55323844 = 20226^2 + 7438^2 .

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, 120544 + ... + 124336.

Almost surely, 2^464414920 is an apocalyptic number.

464414920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464414920 is an abundant number, since it is smaller than the sum of its proper divisors (581135600).

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

464414920 is a wasteful number, since it uses less digits than its factorization.

464414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 464414920 is about 21550.2881651267. The cubic root of 464414920 is about 774.4060214638.

The spelling of 464414920 in words is "four hundred sixty-four million, four hundred fourteen thousand, nine hundred twenty".