252023400 has 240 divisors, whose sum is σ = 896639040. Its totient is φ = 65577600.

The previous prime is 252023393. The next prime is 252023407. The reversal of 252023400 is 4320252.

It is an interprime number because it is at equal distance from previous prime (252023393) and next prime (252023407).

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

It is not an unprimeable number, because it can be changed into a prime (252023407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 761235 + ... + 761565.

It is an arithmetic number, because the mean of its divisors is an integer number (3735996).

Almost surely, 2^252023400 is an apocalyptic number.

252023400 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 252023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448319520).

252023400 is an abundant number, since it is smaller than the sum of its proper divisors (644615640).

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

252023400 is a wasteful number, since it uses less digits than its factorization.

252023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 252023400 is about 15875.2448800011. The cubic root of 252023400 is about 631.6555097974.

Adding to 252023400 its reverse (4320252), we get a palindrome (256343652).

The spelling of 252023400 in words is "two hundred fifty-two million, twenty-three thousand, four hundred".