457364700 has 324 divisors, whose sum is σ = 1618938048. Its totient is φ = 107827200.

The previous prime is 457364671. The next prime is 457364723. The reversal of 457364700 is 7463754.

457364700 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 647 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4715052 + ... + 4715148.

Almost surely, 2^457364700 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 457364700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809469024).

457364700 is an abundant number, since it is smaller than the sum of its proper divisors (1161573348).

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

457364700 is a wasteful number, since it uses less digits than its factorization.

457364700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 457364700 is about 21386.0865985341. The cubic root of 457364700 is about 770.4673050284.

The spelling of 457364700 in words is "four hundred fifty-seven million, three hundred sixty-four thousand, seven hundred".