453873672 has 384 divisors, whose sum is σ = 1611504000. Its totient is φ = 117573120.

The previous prime is 453873659. The next prime is 453873737. The reversal of 453873672 is 276378354.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7440522 + ... + 7440582.

It is an arithmetic number, because the mean of its divisors is an integer number (4196625).

Almost surely, 2^453873672 is an apocalyptic number.

453873672 is a gapful number since it is divisible by the number (42) 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 453873672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805752000).

453873672 is an abundant number, since it is smaller than the sum of its proper divisors (1157630328).

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

453873672 is a wasteful number, since it uses less digits than its factorization.

453873672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 453873672 is about 21304.3111130118. The cubic root of 453873672 is about 768.5019911458.

It can be divided in two parts, 4538 and 73672, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 453873672 in words is "four hundred fifty-three million, eight hundred seventy-three thousand, six hundred seventy-two".