253940700 has 288 divisors, whose sum is σ = 874944000. Its totient is φ = 56263680.

The previous prime is 253940699. The next prime is 253940707. The reversal of 253940700 is 7049352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253940707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1704226 + ... + 1704374.

It is an arithmetic number, because the mean of its divisors is an integer number (3038000).

Almost surely, 2^253940700 is an apocalyptic number.

253940700 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 253940700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

253940700 is an abundant number, since it is smaller than the sum of its proper divisors (621003300).

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

253940700 is a wasteful number, since it uses less digits than its factorization.

253940700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 253940700 is about 15935.5169354496. The cubic root of 253940700 is about 633.2532647316.

The spelling of 253940700 in words is "two hundred fifty-three million, nine hundred forty thousand, seven hundred".