1508080416 has 96 divisors (see below), whose sum is σ = 4008513600. Its totient is φ = 496419840.

The previous prime is 1508080393. The next prime is 1508080429. The reversal of 1508080416 is 6140808051.

1508080416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1508080416² = 4548613082245466112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978915 + ... + 3979293.

It is an arithmetic number, because the mean of its divisors is an integer number (41755350).

Almost surely, 2^1508080416 is an apocalyptic number.

1508080416 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 1508080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004256800).

1508080416 is an abundant number, since it is smaller than the sum of its proper divisors (2500433184).

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

1508080416 is a wasteful number, since it uses less digits than its factorization.

1508080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1508080416 is about 38834.0110727697. The cubic root of 1508080416 is about 1146.7660664388.

Adding to 1508080416 its reverse (6140808051), we get a palindrome (7648888467).

The spelling of 1508080416 in words is "one billion, five hundred eight million, eighty thousand, four hundred sixteen".