153253440 has 168 divisors, whose sum is σ = 532546560. Its totient is φ = 40449024.

The previous prime is 153253433. The next prime is 153253447. The reversal of 153253440 is 44352351.

It is an interprime number because it is at equal distance from previous prime (153253433) and next prime (153253447).

It is not an unprimeable number, because it can be changed into a prime (153253447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365551 + ... + 365969.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^153253440 is an apocalyptic number.

153253440 is a gapful number since it is divisible by the number (10) 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 153253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

153253440 is an abundant number, since it is smaller than the sum of its proper divisors (379293120).

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

153253440 is a wasteful number, since it uses less digits than its factorization.

153253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 153253440 is about 12379.5573426516. The cubic root of 153253440 is about 535.1432812731.

The spelling of 153253440 in words is "one hundred fifty-three million, two hundred fifty-three thousand, four hundred forty".