450727920 has 60 divisors (see below), whose sum is σ = 1513697016. Its totient is φ = 120193920.

The previous prime is 450727913. The next prime is 450727957. The reversal of 450727920 is 29727054.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312286 + ... + 313725.

Almost surely, 2^450727920 is an apocalyptic number.

450727920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450727920 is an abundant number, since it is smaller than the sum of its proper divisors (1062969096).

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

450727920 is a wasteful number, since it uses less digits than its factorization.

450727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626030 (or 626021 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 450727920 is about 21230.3537417538. The cubic root of 450727920 is about 766.7224038453.

The spelling of 450727920 in words is "four hundred fifty million, seven hundred twenty-seven thousand, nine hundred twenty".