450763920 has 80 divisors (see below), whose sum is σ = 1552638720. Its totient is φ = 120203136.

The previous prime is 450763903. The next prime is 450763921. The reversal of 450763920 is 29367054.

450763920 is a `hidden beast` number, since 4 + 507 + 63 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×450763920² = 406376223147532800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (450763921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102184 + ... + 106503.

It is an arithmetic number, because the mean of its divisors is an integer number (19407984).

Almost surely, 2^450763920 is an apocalyptic number.

450763920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450763920 is an abundant number, since it is smaller than the sum of its proper divisors (1101874800).

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

450763920 is a wasteful number, since it uses less digits than its factorization.

450763920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208709 (or 208697 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 450763920 is about 21231.2015675044. The cubic root of 450763920 is about 766.7428162127.

The spelling of 450763920 in words is "four hundred fifty million, seven hundred sixty-three thousand, nine hundred twenty".