1496400 has 120 divisors (see below), whose sum is σ = 5074080. Its totient is φ = 376320.

The previous prime is 1496399. The next prime is 1496423. The reversal of 1496400 is 46941.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34779 + ... + 34821.

It is an arithmetic number, because the mean of its divisors is an integer number (42284).

2^1496400 is an apocalyptic number.

1496400 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 1496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537040).

1496400 is an abundant number, since it is smaller than the sum of its proper divisors (3577680).

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

1496400 is a wasteful number, since it uses less digits than its factorization.

1496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1496400 is about 1223.2742946698. The cubic root of 1496400 is about 114.3797737564.

The spelling of 1496400 in words is "one million, four hundred ninety-six thousand, four hundred".