454784880 has 160 divisors (see below), whose sum is σ = 1587898368. Its totient is φ = 106675200.

The previous prime is 454784879. The next prime is 454784881. The reversal of 454784880 is 88487454.

It is an interprime number because it is at equal distance from previous prime (454784879) and next prime (454784881).

It is a super-2 number, since 2×454784880² = 413658574153228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454784881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79062 + ... + 84618.

Almost surely, 2^454784880 is an apocalyptic number.

454784880 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 454784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793949184).

454784880 is an abundant number, since it is smaller than the sum of its proper divisors (1133113488).

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

454784880 is a wasteful number, since it uses less digits than its factorization.

454784880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 454784880 is about 21325.6859209733. The cubic root of 454784880 is about 769.0159352264.

The spelling of 454784880 in words is "four hundred fifty-four million, seven hundred eighty-four thousand, eight hundred eighty".