457695360 has 288 divisors, whose sum is σ = 1656240300. Its totient is φ = 120932352.

The previous prime is 457695347. The next prime is 457695367. The reversal of 457695360 is 63596754.

457695360 is a `hidden beast` number, since 4 + 57 + 69 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 419904 = 21384^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (457695367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198986 + ... + 4199094.

Almost surely, 2^457695360 is an apocalyptic number.

457695360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828120150).

457695360 is an abundant number, since it is smaller than the sum of its proper divisors (1198544940).

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

457695360 is an frugal number, since it uses more digits than its factorization.

457695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 457695360 is about 21393.8159289081. The cubic root of 457695360 is about 770.6529346792.

The spelling of 457695360 in words is "four hundred fifty-seven million, six hundred ninety-five thousand, three hundred sixty".