39996480 has 112 divisors (see below), whose sum is σ = 129259584. Its totient is φ = 10475520.

The previous prime is 39996469. The next prime is 39996533. The reversal of 39996480 is 8469993.

39996480 = T₃₅₂ + T₃₅₃ + ... + T₆₅₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 58219 + ... + 58901.

Almost surely, 2^39996480 is an apocalyptic number.

39996480 is a gapful number since it is divisible by the number (30) 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 39996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629792).

39996480 is an abundant number, since it is smaller than the sum of its proper divisors (89263104).

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

39996480 is a wasteful number, since it uses less digits than its factorization.

39996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 39996480 is about 6324.2770337802. The cubic root of 39996480 is about 341.9851571822.

The spelling of 39996480 in words is "thirty-nine million, nine hundred ninety-six thousand, four hundred eighty".