1407144645 has 24 divisors (see below), whose sum is σ = 2479039992. Its totient is φ = 738172800.

The previous prime is 1407144593. The next prime is 1407144659. The reversal of 1407144645 is 5464417041.

It is a happy number.

1407144645 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 4 + 4 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 1386296289 = 4566^2 + 37233^2 .

It is not a de Polignac number, because 1407144645 - 2⁷ = 1407144517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253566 + ... + 259055.

It is an arithmetic number, because the mean of its divisors is an integer number (103293333).

Almost surely, 2^1407144645 is an apocalyptic number.

1407144645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1407144645 is a deficient number, since it is larger than the sum of its proper divisors (1071895347).

1407144645 is a wasteful number, since it uses less digits than its factorization.

1407144645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512693 (or 512690 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1407144645 is about 37511.9267033833. The cubic root of 1407144645 is about 1120.5887224277.

The spelling of 1407144645 in words is "one billion, four hundred seven million, one hundred forty-four thousand, six hundred forty-five".