451870920 has 256 divisors, whose sum is σ = 1615968000. Its totient is φ = 112285440.

The previous prime is 451870919. The next prime is 451870933. The reversal of 451870920 is 29078154.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7407690 + ... + 7407750.

It is an arithmetic number, because the mean of its divisors is an integer number (6312375).

Almost surely, 2^451870920 is an apocalyptic number.

451870920 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 451870920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807984000).

451870920 is an abundant number, since it is smaller than the sum of its proper divisors (1164097080).

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

451870920 is a wasteful number, since it uses less digits than its factorization.

451870920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 451870920 is about 21257.2557024655. The cubic root of 451870920 is about 767.3699666882.

The spelling of 451870920 in words is "four hundred fifty-one million, eight hundred seventy thousand, nine hundred twenty".