457032704 has 44 divisors (see below), whose sum is σ = 918079500. Its totient is φ = 227401728.

The previous prime is 457032677. The next prime is 457032713. The reversal of 457032704 is 407230754.

It can be written as a sum of positive squares in 2 ways, for example, as 400000000 + 57032704 = 20000^2 + 7552^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233522 + ... + 235470.

Almost surely, 2^457032704 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 457032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459039750).

457032704 is an abundant number, since it is smaller than the sum of its proper divisors (461046796).

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

457032704 is a wasteful number, since it uses less digits than its factorization.

457032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 457032704 is about 21378.3232270447. The cubic root of 457032704 is about 770.2808353245.

It can be divided in two parts, 4 and 57032704, that multiplied together give a square (228130816 = 15104²).

The spelling of 457032704 in words is "four hundred fifty-seven million, thirty-two thousand, seven hundred four".