390406280625 has 75 divisors (see below), whose sum is σ = 729028626007. Its totient is φ = 208141704000.

The previous prime is 390406280611. The next prime is 390406280629. The reversal of 390406280625 is 526082604093.

The square root of 390406280625 is 624825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 384669127089 + 5737153536 = 620217^2 + 75744^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 390406280625 - 2¹⁵ = 390406247857 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390406280629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 140584237 + ... + 140587013.

Almost surely, 2^390406280625 is an apocalyptic number.

390406280625 is the 624825-th square number.

390406280625 is the 312413-rd centered octagonal number.

It is an amenable number.

390406280625 is a deficient number, since it is larger than the sum of its proper divisors (338622345382).

390406280625 is an frugal number, since it uses more digits than its factorization.

390406280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 390406280625 in words is "three hundred ninety billion, four hundred six million, two hundred eighty thousand, six hundred twenty-five".