451355004 has 72 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 146939184.

The previous prime is 451354999. The next prime is 451355027. The reversal of 451355004 is 400553154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36397 + ... + 47195.

It is an arithmetic number, because the mean of its divisors is an integer number (16816800).

Almost surely, 2^451355004 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 451355004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

451355004 is an abundant number, since it is smaller than the sum of its proper divisors (759454596).

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

451355004 is a wasteful number, since it uses less digits than its factorization.

451355004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 451355004 is about 21245.1171801899. The cubic root of 451355004 is about 767.0778115676.

The spelling of 451355004 in words is "four hundred fifty-one million, three hundred fifty-five thousand, four".