13490400 has 288 divisors, whose sum is σ = 55496448. Its totient is φ = 2764800.

The previous prime is 13490377. The next prime is 13490413. The reversal of 13490400 is 409431.

13490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184764 + ... + 184836.

It is an arithmetic number, because the mean of its divisors is an integer number (192696).

Almost surely, 2^13490400 is an apocalyptic number.

13490400 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 13490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27748224).

13490400 is an abundant number, since it is smaller than the sum of its proper divisors (42006048).

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

13490400 is a wasteful number, since it uses less digits than its factorization.

13490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13490400 is about 3672.9279873148. The cubic root of 13490400 is about 238.0537034851.

Adding to 13490400 its reverse (409431), we get a palindrome (13899831).

The spelling of 13490400 in words is "thirteen million, four hundred ninety thousand, four hundred".