13451400 has 192 divisors, whose sum is σ = 48211200. Its totient is φ = 3444480.

The previous prime is 13451381. The next prime is 13451401. The reversal of 13451400 is 415431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253774 + ... + 253826.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 2^13451400 is an apocalyptic number.

13451400 is a gapful number since it is divisible by the number (10) 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 13451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13451400 is an abundant number, since it is smaller than the sum of its proper divisors (34759800).

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

13451400 is a wasteful number, since it uses less digits than its factorization.

13451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13451400 is about 3667.6150288709. The cubic root of 13451400 is about 237.8240820398.

Adding to 13451400 its reverse (415431), we get a palindrome (13866831).

The spelling of 13451400 in words is "thirteen million, four hundred fifty-one thousand, four hundred".