454032960 has 112 divisors (see below), whose sum is σ = 1455115200. Its totient is φ = 119937024.

The previous prime is 454032959. The next prime is 454032967. The reversal of 454032960 is 69230454.

It is a super-2 number, since 2×454032960² = 412291857532723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454032967) 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, 102471 + ... + 106809.

It is an arithmetic number, because the mean of its divisors is an integer number (12992100).

Almost surely, 2^454032960 is an apocalyptic number.

454032960 is a gapful number since it is divisible by the number (40) 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 454032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727557600).

454032960 is an abundant number, since it is smaller than the sum of its proper divisors (1001082240).

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

454032960 is a wasteful number, since it uses less digits than its factorization.

454032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 454032960 is about 21308.0491833485. The cubic root of 454032960 is about 768.5918831393.

The spelling of 454032960 in words is "four hundred fifty-four million, thirty-two thousand, nine hundred sixty".