4293924480 has 256 divisors, whose sum is σ = 15299020800. Its totient is φ = 1138176000.

The previous prime is 4293924473. The next prime is 4293924493. The reversal of 4293924480 is 844293924.

It is a happy number.

4293924480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3299830 + ... + 3301130.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 2^4293924480 is an apocalyptic number.

4293924480 is a gapful number since it is divisible by the number (40) 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 4293924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

4293924480 is an abundant number, since it is smaller than the sum of its proper divisors (11005096320).

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

4293924480 is a wasteful number, since it uses less digits than its factorization.

4293924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4293924480 is about 65528.0434623223. The cubic root of 4293924480 is about 1625.3671098002.

The spelling of 4293924480 in words is "four billion, two hundred ninety-three million, nine hundred twenty-four thousand, four hundred eighty".