4229892480 has 512 divisors, whose sum is σ = 15792537600. Its totient is φ = 952197120.

The previous prime is 4229892479. The next prime is 4229892493. The reversal of 4229892480 is 842989224.

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

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, 33306177 + ... + 33306303.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 2^4229892480 is an apocalyptic number.

4229892480 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 4229892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

4229892480 is an abundant number, since it is smaller than the sum of its proper divisors (11562645120).

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

4229892480 is a wasteful number, since it uses less digits than its factorization.

4229892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4229892480 is about 65037.6235728213. The cubic root of 4229892480 is about 1617.2473296365.

The spelling of 4229892480 in words is "four billion, two hundred twenty-nine million, eight hundred ninety-two thousand, four hundred eighty".