451904640 has 128 divisors (see below), whose sum is σ = 1571469120. Its totient is φ = 109547520.

The previous prime is 451904617. The next prime is 451904657. The reversal of 451904640 is 46409154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 10422 + ... + 31818.

Almost surely, 2^451904640 is an apocalyptic number.

451904640 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 451904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785734560).

451904640 is an abundant number, since it is smaller than the sum of its proper divisors (1119564480).

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

451904640 is a wasteful number, since it uses less digits than its factorization.

451904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21430 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 451904640 is about 21258.0488286202. The cubic root of 451904640 is about 767.3890540504.

The spelling of 451904640 in words is "four hundred fifty-one million, nine hundred four thousand, six hundred forty".