1456900 has 36 divisors (see below), whose sum is σ = 3351348. Its totient is φ = 547840.

The previous prime is 1456891. The next prime is 1456919. The reversal of 1456900 is 96541.

1456900 = T₆ + T₇ + ... + T₂₀₅.

It can be written as a sum of positive squares in 6 ways, for example, as 97344 + 1359556 = 312^2 + 1166^2 .

It is a super-2 number, since 2×1456900² = 4245115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1272 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

2^1456900 is an apocalyptic number.

1456900 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 1456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675674).

1456900 is an abundant number, since it is smaller than the sum of its proper divisors (1894448).

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

1456900 is a wasteful number, since it uses less digits than its factorization.

1456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1456900 is about 1207.0211265757. The cubic root of 1456900 is about 113.3643705844.

The spelling of 1456900 in words is "one million, four hundred fifty-six thousand, nine hundred".