455372820 has 192 divisors, whose sum is σ = 1650378240. Its totient is φ = 102076416.

The previous prime is 455372779. The next prime is 455372821. The reversal of 455372820 is 28273554.

455372820 is a `hidden beast` number, since 45 + 537 + 2 + 82 + 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 (455372821) 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 63 ways as a sum of consecutive naturals, for example, 199204 + ... + 201476.

It is an arithmetic number, because the mean of its divisors is an integer number (8595720).

Almost surely, 2^455372820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455372820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825189120).

455372820 is an abundant number, since it is smaller than the sum of its proper divisors (1195005420).

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

455372820 is a wasteful number, since it uses less digits than its factorization.

455372820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2343 counting only the distinct ones).

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

The square root of 455372820 is about 21339.4662538687. The cubic root of 455372820 is about 769.3471838016.

The spelling of 455372820 in words is "four hundred fifty-five million, three hundred seventy-two thousand, eight hundred twenty".