1477490625 has 120 divisors (see below), whose sum is σ = 2977543800. Its totient is φ = 725760000.

The previous prime is 1477490557. The next prime is 1477490639. The reversal of 1477490625 is 5260947741.

1477490625 is a `hidden beast` number, since 14 + 7 + 7 + 4 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1462374081 + 15116544 = 38241^2 + 3888^2 .

It is not a de Polignac number, because 1477490625 - 2¹⁴ = 1477474241 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3290401 + ... + 3290849.

It is an arithmetic number, because the mean of its divisors is an integer number (24812865).

Almost surely, 2^1477490625 is an apocalyptic number.

1477490625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1477490625 is an abundant number, since it is smaller than the sum of its proper divisors (1500053175).

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

1477490625 is an frugal number, since it uses more digits than its factorization.

1477490625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1477490625 is about 38438.1402385703. The cubic root of 1477490625 is about 1138.9594036142.

The spelling of 1477490625 in words is "one billion, four hundred seventy-seven million, four hundred ninety thousand, six hundred twenty-five".