457085700 has 288 divisors, whose sum is σ = 1564344320. Its totient is φ = 114307200.

The previous prime is 457085689. The next prime is 457085711. The reversal of 457085700 is 7580754.

457085700 is a `hidden beast` number, since 4 + 570 + 85 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (457085689) and next prime (457085711).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3599037 + ... + 3599163.

Almost surely, 2^457085700 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 457085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782172160).

457085700 is an abundant number, since it is smaller than the sum of its proper divisors (1107258620).

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

457085700 is a wasteful number, since it uses less digits than its factorization.

457085700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 457085700 is about 21379.5626709248. The cubic root of 457085700 is about 770.3106072460.

The spelling of 457085700 in words is "four hundred fifty-seven million, eighty-five thousand, seven hundred".