288431960400 has 180 divisors, whose sum is σ = 1038011188032. Its totient is φ = 76915163520.

The previous prime is 288431960389. The next prime is 288431960407. The reversal of 288431960400 is 4069134882.

It is a happy number.

288431960400 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 31 + 9 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288431960407) 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 35 ways as a sum of consecutive naturals, for example, 1386504 + ... + 1580903.

Almost surely, 2^288431960400 is an apocalyptic number.

288431960400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288431960400 is an abundant number, since it is smaller than the sum of its proper divisors (749579227632).

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

288431960400 is a wasteful number, since it uses less digits than its factorization.

288431960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967440 (or 2967417 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 288431960400 in words is "two hundred eighty-eight billion, four hundred thirty-one million, nine hundred sixty thousand, four hundred".