240513000 has 256 divisors, whose sum is σ = 924618240. Its totient is φ = 50688000.

The previous prime is 240512989. The next prime is 240513019. The reversal of 240513000 is 315042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272560 + ... + 273440.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^240513000 is an apocalyptic number.

240513000 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 240513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

240513000 is an abundant number, since it is smaller than the sum of its proper divisors (684105240).

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

240513000 is a wasteful number, since it uses less digits than its factorization.

240513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 240513000 is about 15508.4815504291. The cubic root of 240513000 is about 621.8889667158. Note that the first 3 decimals are identical.

Adding to 240513000 its reverse (315042), we get a palindrome (240828042).

The spelling of 240513000 in words is "two hundred forty million, five hundred thirteen thousand".