455820372 has 168 divisors, whose sum is σ = 1385259456. Its totient is φ = 128490624.

The previous prime is 455820349. The next prime is 455820377. The reversal of 455820372 is 273028554.

455820372 is a `hidden beast` number, since 4 + 5 + 582 + 0 + 3 + 72 = 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 (455820377) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2796363 + ... + 2796525.

It is an arithmetic number, because the mean of its divisors is an integer number (8245592).

Almost surely, 2^455820372 is an apocalyptic number.

455820372 is a gapful number since it is divisible by the number (42) 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 455820372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692629728).

455820372 is an abundant number, since it is smaller than the sum of its proper divisors (929439084).

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

455820372 is a wasteful number, since it uses less digits than its factorization.

455820372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 455820372 is about 21349.9501638763. The cubic root of 455820372 is about 769.5991459405.

The spelling of 455820372 in words is "four hundred fifty-five million, eight hundred twenty thousand, three hundred seventy-two".