454500480 has 192 divisors, whose sum is σ = 1685594880. Its totient is φ = 103864320.

The previous prime is 454500479. The next prime is 454500503. The reversal of 454500480 is 84005454.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91665 + ... + 96495.

It is an arithmetic number, because the mean of its divisors is an integer number (8779140).

Almost surely, 2^454500480 is an apocalyptic number.

454500480 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 454500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842797440).

454500480 is an abundant number, since it is smaller than the sum of its proper divisors (1231094400).

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

454500480 is a wasteful number, since it uses less digits than its factorization.

454500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 454500480 is about 21319.0168628856. The cubic root of 454500480 is about 768.8556002730.

The spelling of 454500480 in words is "four hundred fifty-four million, five hundred thousand, four hundred eighty".