454366920 has 256 divisors, whose sum is σ = 1625702400. Its totient is φ = 99440640.

The previous prime is 454366903. The next prime is 454366943. The reversal of 454366920 is 29663454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2720677 + ... + 2720843.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^454366920 is an apocalyptic number.

454366920 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 454366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

454366920 is an abundant number, since it is smaller than the sum of its proper divisors (1171335480).

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

454366920 is a wasteful number, since it uses less digits than its factorization.

454366920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 454366920 is about 21315.8842181130. The cubic root of 454366920 is about 768.7802806501.

The spelling of 454366920 in words is "four hundred fifty-four million, three hundred sixty-six thousand, nine hundred twenty".