1046400 has 96 divisors (see below), whose sum is σ = 3478200. Its totient is φ = 276480.

The previous prime is 1046399. The next prime is 1046413. The reversal of 1046400 is 46401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1046400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9546 + ... + 9654.

2^1046400 is an apocalyptic number.

1046400 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 1046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739100).

1046400 is an abundant number, since it is smaller than the sum of its proper divisors (2431800).

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

1046400 is a wasteful number, since it uses less digits than its factorization.

1046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1046400 is about 1022.9369482036. The cubic root of 1046400 is about 101.5233430906.

Subtracting from 1046400 its reverse (46401), we obtain a palindrome (999999).

The spelling of 1046400 in words is "one million, forty-six thousand, four hundred".