259916432400 has 405 divisors, whose sum is σ = 937356698629. Its totient is φ = 66692613120.

The previous prime is 259916432393. The next prime is 259916432449. The reversal of 259916432400 is 4234619952.

The square root of 259916432400 is 509820.

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

259916432400 is a `hidden beast` number, since 2 + 59 + 9 + 164 + 32 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30850814736 + 229065617664 = 175644^2 + 478608^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 887086654 + ... + 887086946.

Almost surely, 2^259916432400 is an apocalyptic number.

259916432400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

259916432400 is the 509820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259916432400

259916432400 is an abundant number, since it is smaller than the sum of its proper divisors (677440266229).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259916432400 is a wasteful number, since it uses less digits than its factorization.

259916432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 259916432400 in words is "two hundred fifty-nine billion, nine hundred sixteen million, four hundred thirty-two thousand, four hundred".