454776960 has 256 divisors, whose sum is σ = 1611861120. Its totient is φ = 108134400.

The previous prime is 454776919. The next prime is 454776983. The reversal of 454776960 is 69677454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288144 + ... + 1288496.

Almost surely, 2^454776960 is an apocalyptic number.

454776960 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 454776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805930560).

454776960 is an abundant number, since it is smaller than the sum of its proper divisors (1157084160).

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

454776960 is a wasteful number, since it uses less digits than its factorization.

454776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 454776960 is about 21325.5002285996. The cubic root of 454776960 is about 769.0114711073.

The spelling of 454776960 in words is "four hundred fifty-four million, seven hundred seventy-six thousand, nine hundred sixty".