253499400 has 576 divisors, whose sum is σ = 1114214400. Its totient is φ = 50112000.

The previous prime is 253499383. The next prime is 253499401. The reversal of 253499400 is 4994352.

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 (253499401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4296571 + ... + 4296629.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^253499400 is an apocalyptic number.

253499400 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 253499400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

253499400 is an abundant number, since it is smaller than the sum of its proper divisors (860715000).

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

253499400 is a wasteful number, since it uses less digits than its factorization.

253499400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253499400 is about 15921.6644858507. The cubic root of 253499400 is about 632.8862279895.

The spelling of 253499400 in words is "two hundred fifty-three million, four hundred ninety-nine thousand, four hundred".