1480920408 has 160 divisors (see below), whose sum is σ = 4545311760. Its totient is φ = 446757120.

The previous prime is 1480920407. The next prime is 1480920443. The reversal of 1480920408 is 8040290841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480920403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2658466 + ... + 2659022.

Almost surely, 2^1480920408 is an apocalyptic number.

1480920408 is a gapful number since it is divisible by the number (18) 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 1480920408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272655880).

1480920408 is an abundant number, since it is smaller than the sum of its proper divisors (3064391352).

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

1480920408 is a wasteful number, since it uses less digits than its factorization.

1480920408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1480920408 is about 38482.7286974300. The cubic root of 1480920408 is about 1139.8400329558.

The spelling of 1480920408 in words is "one billion, four hundred eighty million, nine hundred twenty thousand, four hundred eight".