1457288496 has 140 divisors (see below), whose sum is σ = 4277932048. Its totient is φ = 480650112.

The previous prime is 1457288479. The next prime is 1457288507. The reversal of 1457288496 is 6948827541.

It is a happy number.

1457288496 is a `hidden beast` number, since 1 + 4 + 5 + 72 + 88 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1200786 + ... + 1201998.

Almost surely, 2^1457288496 is an apocalyptic number.

1457288496 is a gapful number since it is divisible by the number (16) 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 1457288496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138966024).

1457288496 is an abundant number, since it is smaller than the sum of its proper divisors (2820643552).

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

1457288496 is a wasteful number, since it uses less digits than its factorization.

1457288496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1321 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1457288496 is about 38174.4482081929. The cubic root of 1457288496 is about 1133.7444624513.

The spelling of 1457288496 in words is "one billion, four hundred fifty-seven million, two hundred eighty-eight thousand, four hundred ninety-six".