13457400 has 96 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 3260800.

The previous prime is 13457383. The next prime is 13457401. The reversal of 13457400 is 475431.

It is a super-2 number, since 2×13457400² = 362203229520000, which contains 22 as substring.

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 (13457401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5581 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^13457400 is an apocalyptic number.

13457400 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 13457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

13457400 is an abundant number, since it is smaller than the sum of its proper divisors (32075400).

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

13457400 is a wasteful number, since it uses less digits than its factorization.

13457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13457400 is about 3668.4329079322. The cubic root of 13457400 is about 237.8594372787.

The spelling of 13457400 in words is "thirteen million, four hundred fifty-seven thousand, four hundred".