1457436645 has 90 divisors (see below), whose sum is σ = 3050391366. Its totient is φ = 663798240.

The previous prime is 1457436641. The next prime is 1457436661. The reversal of 1457436645 is 5466347541.

1457436645 is a `hidden beast` number, since 1 + 4 + 574 + 36 + 6 + 45 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1165949316 + 291487329 = 34146^2 + 17073^2 .

It is not a de Polignac number, because 1457436645 - 2² = 1457436641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1457436645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457436641) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5377860 + ... + 5378130.

Almost surely, 2^1457436645 is an apocalyptic number.

1457436645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1457436645 is an abundant number, since it is smaller than the sum of its proper divisors (1592954721).

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

1457436645 is an frugal number, since it uses more digits than its factorization.

1457436645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 286 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 1457436645 is about 38176.3885798539. The cubic root of 1457436645 is about 1133.7828802428.

Multiplying 1457436645 by its sum of digits (45), we get a square (65584649025 = 256095²).

1457436645 divided by its sum of digits (45) gives a square (32387481 = 5691²).

The spelling of 1457436645 in words is "one billion, four hundred fifty-seven million, four hundred thirty-six thousand, six hundred forty-five".