242476156800 has 960 divisors, whose sum is σ = 946251266400. Its totient is φ = 61020241920.

The previous prime is 242476156787. The next prime is 242476156807. The reversal of 242476156800 is 8651674242.

242476156800 is a `hidden beast` number, since 2 + 4 + 24 + 7 + 61 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (242476156807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 530582172 + ... + 530582628.

Almost surely, 2^242476156800 is an apocalyptic number.

242476156800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242476156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473125633200).

242476156800 is an abundant number, since it is smaller than the sum of its proper divisors (703775109600).

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

242476156800 is a wasteful number, since it uses less digits than its factorization.

242476156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 242476156800 in words is "two hundred forty-two billion, four hundred seventy-six million, one hundred fifty-six thousand, eight hundred".