11945400 has 96 divisors (see below), whose sum is σ = 37973760. Its totient is φ = 3104640.

The previous prime is 11945399. The next prime is 11945411. The reversal of 11945400 is 454911.

11945400 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 (24).

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, 25569 + ... + 26031.

It is an arithmetic number, because the mean of its divisors is an integer number (395560).

Almost surely, 2^11945400 is an apocalyptic number.

11945400 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 11945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986880).

11945400 is an abundant number, since it is smaller than the sum of its proper divisors (26028360).

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

11945400 is a wasteful number, since it uses less digits than its factorization.

11945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11945400 is about 3456.2117990656. The cubic root of 11945400 is about 228.5950905564.

The spelling of 11945400 in words is "eleven million, nine hundred forty-five thousand, four hundred".