454476960 has 576 divisors, whose sum is σ = 1964995200. Its totient is φ = 97542144.

The previous prime is 454476949. The next prime is 454476991. The reversal of 454476960 is 69674454.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4021864 + ... + 4021976.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2^454476960 is an apocalyptic number.

454476960 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 454476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982497600).

454476960 is an abundant number, since it is smaller than the sum of its proper divisors (1510518240).

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

454476960 is a wasteful number, since it uses less digits than its factorization.

454476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 454476960 is about 21318.4652355652. The cubic root of 454476960 is about 768.8423375106.

The spelling of 454476960 in words is "four hundred fifty-four million, four hundred seventy-six thousand, nine hundred sixty".