253628400 has 120 divisors (see below), whose sum is σ = 816757744. Its totient is φ = 67276800.

The previous prime is 253628399. The next prime is 253628449. The reversal of 253628400 is 4826352.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288762 + ... + 289638.

Almost surely, 2^253628400 is an apocalyptic number.

253628400 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 253628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408378872).

253628400 is an abundant number, since it is smaller than the sum of its proper divisors (563129344).

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

253628400 is a wasteful number, since it uses less digits than its factorization.

253628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 253628400 is about 15925.7150545902. The cubic root of 253628400 is about 632.9935635213.

The spelling of 253628400 in words is "two hundred fifty-three million, six hundred twenty-eight thousand, four hundred".