253199520 has 240 divisors, whose sum is σ = 1021603968. Its totient is φ = 57853440.

The previous prime is 253199501. The next prime is 253199521. The reversal of 253199520 is 25991352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (253199521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89325 + ... + 92115.

Almost surely, 2^253199520 is an apocalyptic number.

253199520 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 253199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510801984).

253199520 is an abundant number, since it is smaller than the sum of its proper divisors (768404448).

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

253199520 is a wasteful number, since it uses less digits than its factorization.

253199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 253199520 is about 15912.2443420154. The cubic root of 253199520 is about 632.6365695297.

The spelling of 253199520 in words is "two hundred fifty-three million, one hundred ninety-nine thousand, five hundred twenty".