455245920 has 192 divisors, whose sum is σ = 1614271680. Its totient is φ = 121305600.

The previous prime is 455245897. The next prime is 455245927. The reversal of 455245920 is 29542554.

455245920 is a `hidden beast` number, since 45 + 5 + 24 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455245927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349270 + ... + 350570.

It is an arithmetic number, because the mean of its divisors is an integer number (8407665).

Almost surely, 2^455245920 is an apocalyptic number.

455245920 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 455245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807135840).

455245920 is an abundant number, since it is smaller than the sum of its proper divisors (1159025760).

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

455245920 is an equidigital number, since it uses as much as digits as its factorization.

455245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 455245920 is about 21336.4926827255. The cubic root of 455245920 is about 769.2757117947.

The spelling of 455245920 in words is "four hundred fifty-five million, two hundred forty-five thousand, nine hundred twenty".