1457235360 has 240 divisors, whose sum is σ = 5877881856. Its totient is φ = 333061632.

The previous prime is 1457235301. The next prime is 1457235361. The reversal of 1457235360 is 635327541.

1457235360 is a `hidden beast` number, since 14 + 57 + 235 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1457235361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82689 + ... + 98751.

Almost surely, 2^1457235360 is an apocalyptic number.

1457235360 is a gapful number since it is divisible by the number (10) 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 1457235360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938940928).

1457235360 is an abundant number, since it is smaller than the sum of its proper divisors (4420646496).

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

1457235360 is a wasteful number, since it uses less digits than its factorization.

1457235360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16097 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1457235360 is about 38173.7522389403. The cubic root of 1457235360 is about 1133.7306826637.

The spelling of 1457235360 in words is "one billion, four hundred fifty-seven million, two hundred thirty-five thousand, three hundred sixty".