1506120400 has 60 divisors (see below), whose sum is σ = 3629516332. Its totient is φ = 600606720.

The previous prime is 1506120397. The next prime is 1506120433. The reversal of 1506120400 is 40216051.

It can be written as a sum of positive squares in 6 ways, for example, as 113039424 + 1393080976 = 10632^2 + 37324^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129214 + ... + 140386.

Almost surely, 2^1506120400 is an apocalyptic number.

1506120400 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 1506120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814758166).

1506120400 is an abundant number, since it is smaller than the sum of its proper divisors (2123395932).

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

1506120400 is a wasteful number, since it uses less digits than its factorization.

1506120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1506120400 is about 38808.7670507580. The cubic root of 1506120400 is about 1146.2690429224.

Adding to 1506120400 its reverse (40216051), we get a palindrome (1546336451).

The spelling of 1506120400 in words is "one billion, five hundred six million, one hundred twenty thousand, four hundred".