253076340 has 96 divisors (see below), whose sum is σ = 779667840. Its totient is φ = 61332480.

The previous prime is 253076339. The next prime is 253076347. The reversal of 253076340 is 43670352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253076298 and 253076307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253076347) 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, 78276 + ... + 81444.

It is an arithmetic number, because the mean of its divisors is an integer number (8121540).

Almost surely, 2^253076340 is an apocalyptic number.

253076340 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 253076340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389833920).

253076340 is an abundant number, since it is smaller than the sum of its proper divisors (526591500).

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

253076340 is a wasteful number, since it uses less digits than its factorization.

253076340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 253076340 is about 15908.3732669308. The cubic root of 253076340 is about 632.5339616295.

The spelling of 253076340 in words is "two hundred fifty-three million, seventy-six thousand, three hundred forty".