464296320 has 256 divisors, whose sum is σ = 1667332800. Its totient is φ = 122093568.

The previous prime is 464296319. The next prime is 464296363. The reversal of 464296320 is 23692464.

464296320 is a `hidden beast` number, since 4 + 642 + 9 + 6 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676022 + ... + 1676298.

Almost surely, 2^464296320 is an apocalyptic number.

464296320 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 464296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833666400).

464296320 is an abundant number, since it is smaller than the sum of its proper divisors (1203036480).

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

464296320 is a wasteful number, since it uses less digits than its factorization.

464296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 464296320 is about 21547.5362860815. The cubic root of 464296320 is about 774.3400945168.

The spelling of 464296320 in words is "four hundred sixty-four million, two hundred ninety-six thousand, three hundred twenty".