454970880 has 720 divisors, whose sum is σ = 2037619584. Its totient is φ = 92897280.

The previous prime is 454970869. The next prime is 454970897. The reversal of 454970880 is 88079454.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676465 + ... + 14676495.

Almost surely, 2^454970880 is an apocalyptic number.

454970880 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 454970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018809792).

454970880 is an abundant number, since it is smaller than the sum of its proper divisors (1582648704).

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

454970880 is a wasteful number, since it uses less digits than its factorization.

454970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 454970880 is about 21330.0464134516. The cubic root of 454970880 is about 769.1207594885.

The spelling of 454970880 in words is "four hundred fifty-four million, nine hundred seventy thousand, eight hundred eighty".