451940580 has 384 divisors, whose sum is σ = 1835688960. Its totient is φ = 89579520.

The previous prime is 451940551. The next prime is 451940603. The reversal of 451940580 is 85049154.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 835110 + ... + 835650.

It is an arithmetic number, because the mean of its divisors is an integer number (4780440).

Almost surely, 2^451940580 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 451940580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917844480).

451940580 is an abundant number, since it is smaller than the sum of its proper divisors (1383748380).

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

451940580 is a wasteful number, since it uses less digits than its factorization.

451940580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 451940580 is about 21258.8941386893. The cubic root of 451940580 is about 767.4093970085.

The spelling of 451940580 in words is "four hundred fifty-one million, nine hundred forty thousand, five hundred eighty".