1405152 has 144 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 368640.

The previous prime is 1405147. The next prime is 1405153. The reversal of 1405152 is 2515041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1405152³ = 8323216133360615424, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34252 + ... + 34292.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2^1405152 is an apocalyptic number.

1405152 is a gapful number since it is divisible by the number (12) 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 1405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1405152 is an abundant number, since it is smaller than the sum of its proper divisors (3548160).

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

1405152 is a wasteful number, since it uses less digits than its factorization.

1405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1405152 is about 1185.3910747091. The cubic root of 1405152 is about 112.0059520646.

The spelling of 1405152 in words is "one million, four hundred five thousand, one hundred fifty-two".