11457000 has 192 divisors, whose sum is σ = 41371200. Its totient is φ = 2851200.

The previous prime is 11456993. The next prime is 11457007. The reversal of 11457000 is 75411.

It is an interprime number because it is at equal distance from previous prime (11456993) and next prime (11457007).

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 (11457007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170967 + ... + 171033.

It is an arithmetic number, because the mean of its divisors is an integer number (215475).

Almost surely, 2^11457000 is an apocalyptic number.

11457000 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 11457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685600).

11457000 is an abundant number, since it is smaller than the sum of its proper divisors (29914200).

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

11457000 is a wasteful number, since it uses less digits than its factorization.

11457000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

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

The square root of 11457000 is about 3384.8190498164. The cubic root of 11457000 is about 225.4361908796.

The spelling of 11457000 in words is "eleven million, four hundred fifty-seven thousand".