451656672 has 96 divisors (see below), whose sum is σ = 1250030880. Its totient is φ = 142571520.

The previous prime is 451656659. The next prime is 451656713. The reversal of 451656672 is 276656154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146022 + ... + 149082.

It is an arithmetic number, because the mean of its divisors is an integer number (13021155).

Almost surely, 2^451656672 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 451656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625015440).

451656672 is an abundant number, since it is smaller than the sum of its proper divisors (798374208).

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

451656672 is a wasteful number, since it uses less digits than its factorization.

451656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 451656672 is about 21252.2156962515. The cubic root of 451656672 is about 767.2486684266.

The spelling of 451656672 in words is "four hundred fifty-one million, six hundred fifty-six thousand, six hundred seventy-two".