402964692025 has 45 divisors (see below), whose sum is σ = 583145968463. Its totient is φ = 276212000400.

The previous prime is 402964691971. The next prime is 402964692079. The reversal of 402964692025 is 520296469204.

The square root of 402964692025 is 634795.

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 (402964691971) and next prime (402964692079).

It can be written as a sum of positive squares in only one way, i.e., 145067289129 + 257897402896 = 380877^2 + 507836^2 .

It is not a de Polignac number, because 402964692025 - 2⁷ = 402964691897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 402964692025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 155523480 + ... + 155526070.

Almost surely, 2^402964692025 is an apocalyptic number.

402964692025 is the 634795-th square number.

402964692025 is the 317398-th centered octagonal number.

It is an amenable number.

402964692025 is a deficient number, since it is larger than the sum of its proper divisors (180181276438).

402964692025 is an frugal number, since it uses more digits than its factorization.

402964692025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 402964692025 by its sum of digits (49), we get a square (19745269909225 = 4443565²).

402964692025 divided by its sum of digits (49) gives a square (8223769225 = 90685²).

The spelling of 402964692025 in words is "four hundred two billion, nine hundred sixty-four million, six hundred ninety-two thousand, twenty-five".