451900560 has 160 divisors (see below), whose sum is σ = 1489368960. Its totient is φ = 113025024.

The previous prime is 451900549. The next prime is 451900571. The reversal of 451900560 is 65009154.

It is an interprime number because it is at equal distance from previous prime (451900549) and next prime (451900571).

It is a super-2 number, since 2×451900560² = 408428232256627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 514842 + ... + 515718.

It is an arithmetic number, because the mean of its divisors is an integer number (9308556).

Almost surely, 2^451900560 is an apocalyptic number.

451900560 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 451900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744684480).

451900560 is an abundant number, since it is smaller than the sum of its proper divisors (1037468400).

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

451900560 is a wasteful number, since it uses less digits than its factorization.

451900560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 451900560 is about 21257.9528647516. The cubic root of 451900560 is about 767.3867445980.

The spelling of 451900560 in words is "four hundred fifty-one million, nine hundred thousand, five hundred sixty".