407020725 has 18 divisors (see below), whose sum is σ = 729019746. Its totient is φ = 217077600.

The previous prime is 407020721. The next prime is 407020729. The reversal of 407020725 is 527020704.

It is an interprime number because it is at equal distance from previous prime (407020721) and next prime (407020729).

It can be written as a sum of positive squares in 3 ways, for example, as 21958596 + 385062129 = 4686^2 + 19623^2 .

It is not a de Polignac number, because 407020725 - 2² = 407020721 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407020721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 904266 + ... + 904715.

It is an arithmetic number, because the mean of its divisors is an integer number (40501097).

Almost surely, 2^407020725 is an apocalyptic number.

407020725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407020725 is a deficient number, since it is larger than the sum of its proper divisors (321999021).

407020725 is a wasteful number, since it uses less digits than its factorization.

407020725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808997 (or 1808989 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 407020725 is about 20174.7546453482. The cubic root of 407020725 is about 741.0920842579.

The spelling of 407020725 in words is "four hundred seven million, twenty thousand, seven hundred twenty-five".