451554432 has 128 divisors (see below), whose sum is σ = 1415270400. Its totient is φ = 124830720.

The previous prime is 451554419. The next prime is 451554449. The reversal of 451554432 is 234455154.

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

It is a junction number, because it is equal to n+sod(n) for n = 451554393 and 451554402.

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, 80619 + ... + 86037.

It is an arithmetic number, because the mean of its divisors is an integer number (11056800).

Almost surely, 2^451554432 is an apocalyptic number.

451554432 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 451554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707635200).

451554432 is an abundant number, since it is smaller than the sum of its proper divisors (963715968).

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

451554432 is a wasteful number, since it uses less digits than its factorization.

451554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5462 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 451554432 is about 21249.8101638579. The cubic root of 451554432 is about 767.1907708918.

The spelling of 451554432 in words is "four hundred fifty-one million, five hundred fifty-four thousand, four hundred thirty-two".