240152400 has 180 divisors, whose sum is σ = 877508320. Its totient is φ = 60652800.

The previous prime is 240152383. The next prime is 240152411. The reversal of 240152400 is 4251042.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66645 + ... + 70155.

Almost surely, 2^240152400 is an apocalyptic number.

240152400 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 240152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438754160).

240152400 is an abundant number, since it is smaller than the sum of its proper divisors (637355920).

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

240152400 is a wasteful number, since it uses less digits than its factorization.

240152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240152400 is about 15496.8512930853. The cubic root of 240152400 is about 621.5780128675.

The spelling of 240152400 in words is "two hundred forty million, one hundred fifty-two thousand, four hundred".