454088880 has 360 divisors, whose sum is σ = 1811584944. Its totient is φ = 101606400.

The previous prime is 454088867. The next prime is 454088911. The reversal of 454088880 is 88880454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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, 2151975 + ... + 2152185.

Almost surely, 2^454088880 is an apocalyptic number.

454088880 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 454088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905792472).

454088880 is an abundant number, since it is smaller than the sum of its proper divisors (1357496064).

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

454088880 is a wasteful number, since it uses less digits than its factorization.

454088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 454088880 is about 21309.3613231368. The cubic root of 454088880 is about 768.6234358367.

The spelling of 454088880 in words is "four hundred fifty-four million, eighty-eight thousand, eight hundred eighty".