454432896 has 128 divisors (see below), whose sum is σ = 1399766400. Its totient is φ = 144866304.

The previous prime is 454432883. The next prime is 454432903. The reversal of 454432896 is 698234454.

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

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, 76630 + ... + 82346.

It is an arithmetic number, because the mean of its divisors is an integer number (10935675).

Almost surely, 2^454432896 is an apocalyptic number.

454432896 is a gapful number since it is divisible by the number (46) 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 454432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699883200).

454432896 is an abundant number, since it is smaller than the sum of its proper divisors (945333504).

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

454432896 is a wasteful number, since it uses less digits than its factorization.

454432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5745 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 454432896 is about 21317.4317402449. The cubic root of 454432896 is about 768.8174888995.

The spelling of 454432896 in words is "four hundred fifty-four million, four hundred thirty-two thousand, eight hundred ninety-six".