455790672 has 160 divisors (see below), whose sum is σ = 1412588160. Its totient is φ = 140175360.

The previous prime is 455790661. The next prime is 455790763. The reversal of 455790672 is 276097554.

455790672 is a `hidden beast` number, since 4 + 5 + 579 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×455790672³ (a number of 27 digits) contains 333 as substring.

It is a congruent 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, 388647 + ... + 389817.

It is an arithmetic number, because the mean of its divisors is an integer number (8828676).

Almost surely, 2^455790672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455790672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706294080).

455790672 is an abundant number, since it is smaller than the sum of its proper divisors (956797488).

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

455790672 is a wasteful number, since it uses less digits than its factorization.

455790672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 455790672 is about 21349.2546005710. The cubic root of 455790672 is about 769.5824305906.

The spelling of 455790672 in words is "four hundred fifty-five million, seven hundred ninety thousand, six hundred seventy-two".