451038672 has 80 divisors (see below), whose sum is σ = 1479607680. Its totient is φ = 128867328.

The previous prime is 451038667. The next prime is 451038673. The reversal of 451038672 is 276830154.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451038673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71553 + ... + 77600.

It is an arithmetic number, because the mean of its divisors is an integer number (18495096).

Almost surely, 2^451038672 is an apocalyptic number.

451038672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

451038672 is an abundant number, since it is smaller than the sum of its proper divisors (1028569008).

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

451038672 is a wasteful number, since it uses less digits than its factorization.

451038672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149177 (or 149165 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 451038672 is about 21237.6710587578. The cubic root of 451038672 is about 766.8985676128.

The spelling of 451038672 in words is "four hundred fifty-one million, thirty-eight thousand, six hundred seventy-two".