1506099456 has 108 divisors (see below), whose sum is σ = 4492395180. Its totient is φ = 484700160.

The previous prime is 1506099451. The next prime is 1506099473. The reversal of 1506099456 is 6549906051.

It is a happy number.

1506099456 is a `hidden beast` number, since 1 + 50 + 60 + 99 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1003622400 + 502477056 = 31680^2 + 22416^2 .

It is not an unprimeable number, because it can be changed into a prime (1506099451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55546 + ... + 78086.

Almost surely, 2^1506099456 is an apocalyptic number.

1506099456 is a gapful number since it is divisible by the number (16) 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 1506099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246197590).

1506099456 is an abundant number, since it is smaller than the sum of its proper divisors (2986295724).

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

1506099456 is a wasteful number, since it uses less digits than its factorization.

1506099456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22592 (or 22575 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1506099456 is about 38808.4972138835. The cubic root of 1506099456 is about 1146.2637295866.

The spelling of 1506099456 in words is "one billion, five hundred six million, ninety-nine thousand, four hundred fifty-six".