253371840 has 224 divisors, whose sum is σ = 877824000. Its totient is φ = 61673472.

The previous prime is 253371829. The next prime is 253371847. The reversal of 253371840 is 48173352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253371847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528721 + ... + 529199.

Almost surely, 2^253371840 is an apocalyptic number.

253371840 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 253371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912000).

253371840 is an abundant number, since it is smaller than the sum of its proper divisors (624452160).

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

253371840 is a wasteful number, since it uses less digits than its factorization.

253371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 253371840 is about 15917.6581192084. The cubic root of 253371840 is about 632.7800548096.

The spelling of 253371840 in words is "two hundred fifty-three million, three hundred seventy-one thousand, eight hundred forty".