1457383680 has 216 divisors, whose sum is σ = 5114419128. Its totient is φ = 383090688.

The previous prime is 1457383679. The next prime is 1457383703. The reversal of 1457383680 is 863837541.

1457383680 is a `hidden beast` number, since 14 + 573 + 8 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 1306388736 = 12288^2 + 36144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840094 + ... + 841826.

Almost surely, 2^1457383680 is an apocalyptic number.

1457383680 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 1457383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557209564).

1457383680 is an abundant number, since it is smaller than the sum of its proper divisors (3657035448).

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

1457383680 is a wasteful number, since it uses less digits than its factorization.

1457383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1457383680 is about 38175.6948856206. The cubic root of 1457383680 is about 1133.7691457321.

The spelling of 1457383680 in words is "one billion, four hundred fifty-seven million, three hundred eighty-three thousand, six hundred eighty".