1472400 has 90 divisors (see below), whose sum is σ = 5122130. Its totient is φ = 391680.

The previous prime is 1472399. The next prime is 1472411. The reversal of 1472400 is 42741.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 1140624 = 576^2 + 1068^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3396 + ... + 3804.

2^1472400 is an apocalyptic number.

1472400 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 1472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561065).

1472400 is an abundant number, since it is smaller than the sum of its proper divisors (3649730).

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

1472400 is a wasteful number, since it uses less digits than its factorization.

1472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1472400 is about 1213.4249049694. The cubic root of 1472400 is about 113.7649821268.

The spelling of 1472400 in words is "one million, four hundred seventy-two thousand, four hundred".