459823920 has 40 divisors (see below), whose sum is σ = 1425454896. Its totient is φ = 122619648.

The previous prime is 459823907. The next prime is 459823933. The reversal of 459823920 is 29328954.

It is an interprime number because it is at equal distance from previous prime (459823907) and next prime (459823933).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×459823920² = 422876074808332800, which contains 22 as substring.

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, 957727 + ... + 958206.

Almost surely, 2^459823920 is an apocalyptic number.

459823920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459823920 is an abundant number, since it is smaller than the sum of its proper divisors (965630976).

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

459823920 is a wasteful number, since it uses less digits than its factorization.

459823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915949 (or 1915943 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 459823920 is about 21443.5053104664. The cubic root of 459823920 is about 771.8457547531.

The spelling of 459823920 in words is "four hundred fifty-nine million, eight hundred twenty-three thousand, nine hundred twenty".