464947392 has 336 divisors, whose sum is σ = 1606417920. Its totient is φ = 115974144.

The previous prime is 464947367. The next prime is 464947403. The reversal of 464947392 is 293749464.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 5224084 + ... + 5224172.

Almost surely, 2^464947392 is an apocalyptic number.

464947392 is a gapful number since it is divisible by the number (42) 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 464947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803208960).

464947392 is an abundant number, since it is smaller than the sum of its proper divisors (1141470528).

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

464947392 is a wasteful number, since it uses less digits than its factorization.

464947392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 464947392 is about 21562.6387995533. The cubic root of 464947392 is about 774.7018718721.

The spelling of 464947392 in words is "four hundred sixty-four million, nine hundred forty-seven thousand, three hundred ninety-two".