39750480 has 320 divisors, whose sum is σ = 171417600. Its totient is φ = 8225280.

The previous prime is 39750479. The next prime is 39750511. The reversal of 39750480 is 8405793.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166201 + ... + 166439.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 2^39750480 is an apocalyptic number.

39750480 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 39750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

39750480 is an abundant number, since it is smaller than the sum of its proper divisors (131667120).

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

39750480 is a wasteful number, since it uses less digits than its factorization.

39750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 39750480 is about 6304.7981728204. The cubic root of 39750480 is about 341.2825835329.

The spelling of 39750480 in words is "thirty-nine million, seven hundred fifty thousand, four hundred eighty".