454381920 has 192 divisors, whose sum is σ = 1606832640. Its totient is φ = 119913984.

The previous prime is 454381909. The next prime is 454381937. The reversal of 454381920 is 29183454.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461749 + ... + 462731.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2^454381920 is an apocalyptic number.

454381920 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 454381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803416320).

454381920 is an abundant number, since it is smaller than the sum of its proper divisors (1152450720).

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

454381920 is a wasteful number, since it uses less digits than its factorization.

454381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 454381920 is about 21316.2360654971. The cubic root of 454381920 is about 768.7887404629.

The spelling of 454381920 in words is "four hundred fifty-four million, three hundred eighty-one thousand, nine hundred twenty".