402990084225 has 45 divisors (see below), whose sum is σ = 746529860307. Its totient is φ = 214912809360.

The previous prime is 402990084197. The next prime is 402990084257. The reversal of 402990084225 is 522480099204.

The square root of 402990084225 is 634815.

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

It can be written as a sum of positive squares in only one way, i.e., 145076430321 + 257913653904 = 380889^2 + 507852^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 402990084225 - 2⁵ = 402990084193 is a prime.

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

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, 28559622 + ... + 28573728.

Almost surely, 2^402990084225 is an apocalyptic number.

402990084225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

402990084225 is the 634815-th square number.

402990084225 is the 317408-th centered octagonal number.

It is an amenable number.

402990084225 is a deficient number, since it is larger than the sum of its proper divisors (343539776082).

402990084225 is an frugal number, since it uses more digits than its factorization.

402990084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28236 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 402990084225 in words is "four hundred two billion, nine hundred ninety million, eighty-four thousand, two hundred twenty-five".