1457347680 has 96 divisors (see below), whose sum is σ = 5100732000. Its totient is φ = 388624896.

The previous prime is 1457347679. The next prime is 1457347687. The reversal of 1457347680 is 867437541.

1457347680 is a `hidden beast` number, since 1 + 4 + 573 + 4 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457347687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164355 + ... + 172994.

It is an arithmetic number, because the mean of its divisors is an integer number (53132625).

Almost surely, 2^1457347680 is an apocalyptic number.

1457347680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457347680 is an abundant number, since it is smaller than the sum of its proper divisors (3643384320).

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

1457347680 is a wasteful number, since it uses less digits than its factorization.

1457347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337373 (or 337359 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1457347680 is about 38175.2233785213. The cubic root of 1457347680 is about 1133.7598102757.

The spelling of 1457347680 in words is "one billion, four hundred fifty-seven million, three hundred forty-seven thousand, six hundred eighty".