240772464 has 120 divisors (see below), whose sum is σ = 709537920. Its totient is φ = 76070016.

The previous prime is 240772447. The next prime is 240772489. The reversal of 240772464 is 464277042.

It is a happy number.

240772464 is a `hidden beast` number, since 2 + 407 + 7 + 246 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460107 + ... + 460629.

It is an arithmetic number, because the mean of its divisors is an integer number (5912816).

Almost surely, 2^240772464 is an apocalyptic number.

240772464 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 240772464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354768960).

240772464 is an abundant number, since it is smaller than the sum of its proper divisors (468765456).

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

240772464 is a wasteful number, since it uses less digits than its factorization.

240772464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

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

The square root of 240772464 is about 15516.8445245804. The cubic root of 240772464 is about 622.1125163918.

The spelling of 240772464 in words is "two hundred forty million, seven hundred seventy-two thousand, four hundred sixty-four".