1407465625 has 24 divisors (see below), whose sum is σ = 1767683736. Its totient is φ = 1120560000.

The previous prime is 1407465617. The next prime is 1407465629. The reversal of 1407465625 is 5265647041.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1406325001 + 1140624 = 37501^2 + 1068^2 .

It is not a de Polignac number, because 1407465625 - 2³ = 1407465617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1407465629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727159 + ... + 729091.

It is an arithmetic number, because the mean of its divisors is an integer number (73653489).

Almost surely, 2^1407465625 is an apocalyptic number.

It is an amenable number.

1407465625 is a deficient number, since it is larger than the sum of its proper divisors (360218111).

1407465625 is an frugal number, since it uses more digits than its factorization.

1407465625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1407465625 is about 37516.2048320456. The cubic root of 1407465625 is about 1120.6739207816.

The spelling of 1407465625 in words is "one billion, four hundred seven million, four hundred sixty-five thousand, six hundred twenty-five".