457360020 has 336 divisors, whose sum is σ = 1645271040. Its totient is φ = 105815808.

The previous prime is 457360009. The next prime is 457360049. The reversal of 457360020 is 20063754.

It is a happy number.

457360020 is a `hidden beast` number, since 4 + 57 + 3 + 600 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3601197 + ... + 3601323.

It is an arithmetic number, because the mean of its divisors is an integer number (4896640).

Almost surely, 2^457360020 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 457360020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822635520).

457360020 is an abundant number, since it is smaller than the sum of its proper divisors (1187911020).

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

457360020 is a wasteful number, since it uses less digits than its factorization.

457360020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 457360020 is about 21385.9771813214. The cubic root of 457360020 is about 770.4646770751.

The spelling of 457360020 in words is "four hundred fifty-seven million, three hundred sixty thousand, twenty".