4242900480 has 480 divisors, whose sum is σ = 16821851904. Its totient is φ = 893288448.

The previous prime is 4242900461. The next prime is 4242900503. The reversal of 4242900480 is 840092424.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9085207 + ... + 9085673.

Almost surely, 2^4242900480 is an apocalyptic number.

4242900480 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 4242900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410925952).

4242900480 is an abundant number, since it is smaller than the sum of its proper divisors (12578951424).

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

4242900480 is a wasteful number, since it uses less digits than its factorization.

4242900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4242900480 is about 65137.5504605446. The cubic root of 4242900480 is about 1618.9034493651.

The spelling of 4242900480 in words is "four billion, two hundred forty-two million, nine hundred thousand, four hundred eighty".