253450412400 has 120 divisors (see below), whose sum is σ = 812000701744. Its totient is φ = 67577241600.

The previous prime is 253450412393. The next prime is 253450412489. The reversal of 253450412400 is 4214054352.

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

It is a super-2 number, since 2×253450412400² (a number of 24 digits) contains 22 as substring.

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

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, 13931310 + ... + 13949490.

Almost surely, 2^253450412400 is an apocalyptic number.

253450412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253450412400 is an abundant number, since it is smaller than the sum of its proper divisors (558550289344).

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

253450412400 is a wasteful number, since it uses less digits than its factorization.

253450412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29819 (or 29808 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 253450412400 its reverse (4214054352), we get a palindrome (257664466752).

The spelling of 253450412400 in words is "two hundred fifty-three billion, four hundred fifty million, four hundred twelve thousand, four hundred".