246989120400 has 675 divisors, whose sum is σ = 978231238369. Its totient is φ = 59637600000.

The previous prime is 246989120393. The next prime is 246989120401. The reversal of 246989120400 is 4021989642.

The square root of 246989120400 is 496980.

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

246989120400 is a `hidden beast` number, since 2 + 46 + 9 + 89 + 120 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88916083344 + 158073037056 = 298188^2 + 397584^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×246989120400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (246989120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 984020275 + ... + 984020525.

Almost surely, 2^246989120400 is an apocalyptic number.

246989120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

246989120400 is the 496980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246989120400

246989120400 is an abundant number, since it is smaller than the sum of its proper divisors (731242117969).

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

246989120400 is a wasteful number, since it uses less digits than its factorization.

246989120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 246989120400 in words is "two hundred forty-six billion, nine hundred eighty-nine million, one hundred twenty thousand, four hundred".