464996520 has 192 divisors, whose sum is σ = 1597190400. Its totient is φ = 117089280.

The previous prime is 464996513. The next prime is 464996551. The reversal of 464996520 is 25699464.

It is a super-2 number, since 2×464996520² = 432443527224220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736605 + ... + 737235.

It is an arithmetic number, because the mean of its divisors is an integer number (8318700).

Almost surely, 2^464996520 is an apocalyptic number.

464996520 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 464996520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798595200).

464996520 is an abundant number, since it is smaller than the sum of its proper divisors (1132193880).

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

464996520 is a wasteful number, since it uses less digits than its factorization.

464996520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 464996520 is about 21563.7779621290. Note that the first 3 decimals coincide. The cubic root of 464996520 is about 774.7291568323.

The spelling of 464996520 in words is "four hundred sixty-four million, nine hundred ninety-six thousand, five hundred twenty".