152444480 has 56 divisors (see below), whose sum is σ = 364159800. Its totient is φ = 60784640.

The previous prime is 152444471. The next prime is 152444507. The reversal of 152444480 is 84444251.

It can be written as a sum of positive squares in 4 ways, for example, as 29855296 + 122589184 = 5464^2 + 11072^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143150 + ... + 144210.

Almost surely, 2^152444480 is an apocalyptic number.

152444480 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 152444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182079900).

152444480 is an abundant number, since it is smaller than the sum of its proper divisors (211715320).

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

152444480 is a wasteful number, since it uses less digits than its factorization.

152444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 152444480 is about 12346.8408914993. The cubic root of 152444480 is about 534.2000213898.

The spelling of 152444480 in words is "one hundred fifty-two million, four hundred forty-four thousand, four hundred eighty".