152446440 has 96 divisors (see below), whose sum is σ = 465907680. Its totient is φ = 39904128.

The previous prime is 152446439. The next prime is 152446447. The reversal of 152446440 is 44644251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152446398 and 152446407.

It is not an unprimeable number, because it can be changed into a prime (152446447) 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, 538539 + ... + 538821.

It is an arithmetic number, because the mean of its divisors is an integer number (4853205).

Almost surely, 2^152446440 is an apocalyptic number.

152446440 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 152446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232953840).

152446440 is an abundant number, since it is smaller than the sum of its proper divisors (313461240).

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

152446440 is a wasteful number, since it uses less digits than its factorization.

152446440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 152446440 is about 12346.9202637743. The cubic root of 152446440 is about 534.2023108081.

The spelling of 152446440 in words is "one hundred fifty-two million, four hundred forty-six thousand, four hundred forty".