464391840 has 192 divisors, whose sum is σ = 1606614912. Its totient is φ = 111820800.

The previous prime is 464391821. The next prime is 464391853. The reversal of 464391840 is 48193464.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483524 + ... + 1483836.

It is an arithmetic number, because the mean of its divisors is an integer number (8367786).

Almost surely, 2^464391840 is an apocalyptic number.

464391840 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 464391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803307456).

464391840 is an abundant number, since it is smaller than the sum of its proper divisors (1142223072).

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

464391840 is a wasteful number, since it uses less digits than its factorization.

464391840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 464391840 is about 21549.7526667941. The cubic root of 464391840 is about 774.3931927150.

The spelling of 464391840 in words is "four hundred sixty-four million, three hundred ninety-one thousand, eight hundred forty".