252410640 has 80 divisors (see below), whose sum is σ = 793246848. Its totient is φ = 66382848.

The previous prime is 252410629. The next prime is 252410657. The reversal of 252410640 is 46014252.

252410640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×252410640² = 127422262370419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252410640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10317 + ... + 24723.

Almost surely, 2^252410640 is an apocalyptic number.

252410640 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 252410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396623424).

252410640 is an abundant number, since it is smaller than the sum of its proper divisors (540836208).

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

252410640 is a wasteful number, since it uses less digits than its factorization.

252410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252410640 is about 15887.4365459000. The cubic root of 252410640 is about 631.9788621889.

Adding to 252410640 its reverse (46014252), we get a palindrome (298424892).

The spelling of 252410640 in words is "two hundred fifty-two million, four hundred ten thousand, six hundred forty".