920400390625 has 33 divisors (see below), whose sum is σ = 1154260230267. Its totient is φ = 733921875000.

The previous prime is 920400390619. The next prime is 920400390631. The reversal of 920400390625 is 526093004029.

The square root of 920400390625 is 959375.

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

It is an interprime number because it is at equal distance from previous prime (920400390619) and next prime (920400390631).

It can be written as a sum of positive squares in 5 ways, for example, as 5293872081 + 915106518544 = 72759^2 + 956612^2 .

It is not a de Polignac number, because 920400390625 - 2¹⁷ = 920400259553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 32 ways as a sum of consecutive naturals, for example, 2998046722 + ... + 2998047028.

Almost surely, 2^920400390625 is an apocalyptic number.

920400390625 is the 959375-th square number.

920400390625 is the 479688-th centered octagonal number.

It is an amenable number.

920400390625 is a deficient number, since it is larger than the sum of its proper divisors (233859839642).

920400390625 is an frugal number, since it uses more digits than its factorization.

920400390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

It can be divided in two parts, 920400 and 390625, that added together give a square (1311025 = 1145²).

The spelling of 920400390625 in words is "nine hundred twenty billion, four hundred million, three hundred ninety thousand, six hundred twenty-five".