455652120 has 192 divisors, whose sum is σ = 1717551360. Its totient is φ = 94659840.

The previous prime is 455652101. The next prime is 455652157. The reversal of 455652120 is 21256554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 99399 + ... + 103881.

It is an arithmetic number, because the mean of its divisors is an integer number (8945580).

Almost surely, 2^455652120 is an apocalyptic number.

455652120 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 455652120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858775680).

455652120 is an abundant number, since it is smaller than the sum of its proper divisors (1261899240).

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

455652120 is a wasteful number, since it uses less digits than its factorization.

455652120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 455652120 is about 21346.0094631292. The cubic root of 455652120 is about 769.5044430424.

The spelling of 455652120 in words is "four hundred fifty-five million, six hundred fifty-two thousand, one hundred twenty".