1456496640 has 280 divisors, whose sum is σ = 5233385520. Its totient is φ = 387514368.

The previous prime is 1456496617. The next prime is 1456496651. The reversal of 1456496640 is 466946541.

It is a happy number.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317541 + ... + 3317979.

Almost surely, 2^1456496640 is an apocalyptic number.

1456496640 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 1456496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616692760).

1456496640 is an abundant number, since it is smaller than the sum of its proper divisors (3776888880).

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

1456496640 is an frugal number, since it uses more digits than its factorization.

1456496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1456496640 is about 38164.0752540920. The cubic root of 1456496640 is about 1133.5390752969.

The spelling of 1456496640 in words is "one billion, four hundred fifty-six million, four hundred ninety-six thousand, six hundred forty".