242774064 has 160 divisors (see below), whose sum is σ = 758284800. Its totient is φ = 73923840.

The previous prime is 242774029. The next prime is 242774071. The reversal of 242774064 is 460477242.

It is a happy number.

242774064 is a `hidden beast` number, since 242 + 7 + 7 + 406 + 4 = 666.

242774064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780469 + ... + 780779.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^242774064 is an apocalyptic number.

242774064 is a gapful number since it is divisible by the number (24) 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 242774064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379142400).

242774064 is an abundant number, since it is smaller than the sum of its proper divisors (515510736).

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

242774064 is a wasteful number, since it uses less digits than its factorization.

242774064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 242774064 is about 15581.2086822557. The cubic root of 242774064 is about 623.8316853730.

The spelling of 242774064 in words is "two hundred forty-two million, seven hundred seventy-four thousand, sixty-four".