1457459640 has 384 divisors, whose sum is σ = 6175128960. Its totient is φ = 289308672.

The previous prime is 1457459617. The next prime is 1457459659. The reversal of 1457459640 is 469547541.

1457459640 is a `hidden beast` number, since 1 + 4 + 57 + 4 + 596 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555612 + ... + 558228.

It is an arithmetic number, because the mean of its divisors is an integer number (16081065).

Almost surely, 2^1457459640 is an apocalyptic number.

1457459640 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 1457459640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087564480).

1457459640 is an abundant number, since it is smaller than the sum of its proper divisors (4717669320).

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

1457459640 is a wasteful number, since it uses less digits than its factorization.

1457459640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1457459640 is about 38176.6897464932. The cubic root of 1457459640 is about 1133.7888430407.

The spelling of 1457459640 in words is "one billion, four hundred fifty-seven million, four hundred fifty-nine thousand, six hundred forty".