1292400 has 90 divisors (see below), whose sum is σ = 4497480. Its totient is φ = 343680.

The previous prime is 1292387. The next prime is 1292419. The reversal of 1292400 is 42921.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 3421 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (49972).

2^1292400 is an apocalyptic number.

1292400 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 1292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248740).

1292400 is an abundant number, since it is smaller than the sum of its proper divisors (3205080).

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

1292400 is a wasteful number, since it uses less digits than its factorization.

1292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1292400 is about 1136.8377192898. The cubic root of 1292400 is about 108.9261908081.

The spelling of 1292400 in words is "one million, two hundred ninety-two thousand, four hundred".