1457277264 has 320 divisors, whose sum is σ = 4722554880. Its totient is φ = 427991040.

The previous prime is 1457277259. The next prime is 1457277271. The reversal of 1457277264 is 4627727541.

1457277264 is a `hidden beast` number, since 1 + 4 + 572 + 7 + 72 + 6 + 4 = 666.

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, 8423482 + ... + 8423654.

It is an arithmetic number, because the mean of its divisors is an integer number (14757984).

Almost surely, 2^1457277264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457277264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361277440).

1457277264 is an abundant number, since it is smaller than the sum of its proper divisors (3265277616).

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

1457277264 is a wasteful number, since it uses less digits than its factorization.

1457277264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 1457277264 is about 38174.3010937987. The cubic root of 1457277264 is about 1133.7415496786.

It can be divided in two parts, 1457277 and 264, that added together give a palindrome (1457541).

The spelling of 1457277264 in words is "one billion, four hundred fifty-seven million, two hundred seventy-seven thousand, two hundred sixty-four".