457855020 has 432 divisors, whose sum is σ = 1759762368. Its totient is φ = 95800320.

The previous prime is 457855001. The next prime is 457855031. The reversal of 457855020 is 20558754.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 7505790 + ... + 7505850.

It is an arithmetic number, because the mean of its divisors is an integer number (4073524).

Almost surely, 2^457855020 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 457855020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879881184).

457855020 is an abundant number, since it is smaller than the sum of its proper divisors (1301907348).

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

457855020 is a wasteful number, since it uses less digits than its factorization.

457855020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 457855020 is about 21397.5470556791. The cubic root of 457855020 is about 770.7425344100.

It can be divided in two parts, 45785 and 5020, that added together give a palindrome (50805).

The spelling of 457855020 in words is "four hundred fifty-seven million, eight hundred fifty-five thousand, twenty".