1456400 has 60 divisors (see below), whose sum is σ = 3828624. Its totient is φ = 528000.

The previous prime is 1456393. The next prime is 1456417. The reversal of 1456400 is 46541.

It is a happy number.

It is a super-2 number, since 2×1456400² = 4242201920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4235 + ... + 4565.

2^1456400 is an apocalyptic number.

1456400 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 1456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914312).

1456400 is an abundant number, since it is smaller than the sum of its proper divisors (2372224).

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

1456400 is a wasteful number, since it uses less digits than its factorization.

1456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1456400 is about 1206.8139873236. The cubic root of 1456400 is about 113.3514004261.

The spelling of 1456400 in words is "one million, four hundred fifty-six thousand, four hundred".