1460472 has 64 divisors (see below), whose sum is σ = 4085760. Its totient is φ = 432000.

The previous prime is 1460467. The next prime is 1460479. The reversal of 1460472 is 2740641.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9597 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2^1460472 is an apocalyptic number.

1460472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1208×1209.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042880).

1460472 is an abundant number, since it is smaller than the sum of its proper divisors (2625288).

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

1460472 is a wasteful number, since it uses less digits than its factorization.

1460472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1460472 is about 1208.4998965660. The cubic root of 1460472 is about 113.4569431797.

The spelling of 1460472 in words is "one million, four hundred sixty thousand, four hundred seventy-two".