13970400 has 72 divisors (see below), whose sum is σ = 45481464. Its totient is φ = 3724800.

The previous prime is 13970393. The next prime is 13970401. The reversal of 13970400 is 407931.

13970400 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (631687).

Almost surely, 2^13970400 is an apocalyptic number.

13970400 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 13970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740732).

13970400 is an abundant number, since it is smaller than the sum of its proper divisors (31511064).

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

13970400 is a wasteful number, since it uses less digits than its factorization.

13970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13970400 is about 3737.6998274340. The cubic root of 13970400 is about 240.8442489222.

The spelling of 13970400 in words is "thirteen million, nine hundred seventy thousand, four hundred".