11750400 has 264 divisors, whose sum is σ = 45689040. Its totient is φ = 2949120.

The previous prime is 11750399. The next prime is 11750407. The reversal of 11750400 is 405711.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11750407) 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, 691192 + ... + 691208.

Almost surely, 2^11750400 is an apocalyptic number.

11750400 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 11750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22844520).

11750400 is an abundant number, since it is smaller than the sum of its proper divisors (33938640).

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

11750400 is a wasteful number, since it uses less digits than its factorization.

11750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11750400 is about 3427.8856457006. The cubic root of 11750400 is about 227.3443769246.

The spelling of 11750400 in words is "eleven million, seven hundred fifty thousand, four hundred".