454129920 has 216 divisors, whose sum is σ = 1594320000. Its totient is φ = 119328768.

The previous prime is 454129919. The next prime is 454129927. The reversal of 454129920 is 29921454.

454129920 is a `hidden beast` number, since 4 + 541 + 2 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (454129927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909831 + ... + 910329.

Almost surely, 2^454129920 is an apocalyptic number.

454129920 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 454129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797160000).

454129920 is an abundant number, since it is smaller than the sum of its proper divisors (1140190080).

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

454129920 is a wasteful number, since it uses less digits than its factorization.

454129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 454129920 is about 21310.3242584434. The cubic root of 454129920 is about 768.6465908892.

The spelling of 454129920 in words is "four hundred fifty-four million, one hundred twenty-nine thousand, nine hundred twenty".