1457859480 has 256 divisors, whose sum is σ = 5774146560. Its totient is φ = 285081600.

The previous prime is 1457859479. The next prime is 1457859503. The reversal of 1457859480 is 849587541.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152440 + ... + 161720.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^1457859480 is an apocalyptic number.

1457859480 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 1457859480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887073280).

1457859480 is an abundant number, since it is smaller than the sum of its proper divisors (4316287080).

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

1457859480 is a wasteful number, since it uses less digits than its factorization.

1457859480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The square root of 1457859480 is about 38181.9260907566. The cubic root of 1457859480 is about 1133.8925149066.

The spelling of 1457859480 in words is "one billion, four hundred fifty-seven million, eight hundred fifty-nine thousand, four hundred eighty".