1457757840 has 480 divisors, whose sum is σ = 5862481920. Its totient is φ = 296217600.

The previous prime is 1457757811. The next prime is 1457757841. The reversal of 1457757840 is 487577541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1457757840.

It is not an unprimeable number, because it can be changed into a prime (1457757841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7632145 + ... + 7632335.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^1457757840 is an apocalyptic number.

1457757840 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 1457757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931240960).

1457757840 is an abundant number, since it is smaller than the sum of its proper divisors (4404724080).

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

1457757840 is a wasteful number, since it uses less digits than its factorization.

1457757840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The square root of 1457757840 is about 38180.5950713186. The cubic root of 1457757840 is about 1133.8661631411.

The spelling of 1457757840 in words is "one billion, four hundred fifty-seven million, seven hundred fifty-seven thousand, eight hundred forty".