1148400 has 180 divisors, whose sum is σ = 4497480. Its totient is φ = 268800.

The previous prime is 1148387. The next prime is 1148437. The reversal of 1148400 is 48411.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39586 + ... + 39614.

It is an arithmetic number, because the mean of its divisors is an integer number (24986).

2^1148400 is an apocalyptic number.

1148400 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 1148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248740).

1148400 is an abundant number, since it is smaller than the sum of its proper divisors (3349080).

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

1148400 is a wasteful number, since it uses less digits than its factorization.

1148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1148400 is about 1071.6342659695. The cubic root of 1148400 is about 104.7203442649.

The spelling of 1148400 in words is "one million, one hundred forty-eight thousand, four hundred".