1405752 has 16 divisors (see below), whose sum is σ = 3514440. Its totient is φ = 468576.

The previous prime is 1405751. The next prime is 1405759. The reversal of 1405752 is 2575041.

It is a super-3 number, since 3×1405752³ = 8333882728273857024, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 58573 = 1405752 / (1 + 4 + 0 + 5 + 7 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405751) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29263 + ... + 29310.

2^1405752 is an apocalyptic number.

1405752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1405752 is an abundant number, since it is smaller than the sum of its proper divisors (2108688).

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

1405752 is a wasteful number, since it uses less digits than its factorization.

1405752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58582 (or 58578 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 1405752 is about 1185.6441287334. The cubic root of 1405752 is about 112.0218919791.

The spelling of 1405752 in words is "one million, four hundred five thousand, seven hundred fifty-two".