4209468480 has 672 divisors, whose sum is σ = 17665476480. Its totient is φ = 940584960.

The previous prime is 4209468463. The next prime is 4209468499. The reversal of 4209468480 is 848649024.

4209468480 is a `hidden beast` number, since 4 + 20 + 94 + 68 + 480 = 666.

4209468480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4209468480² = 35439249768227020800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25824879 + ... + 25825041.

Almost surely, 2^4209468480 is an apocalyptic number.

4209468480 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 4209468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832738240).

4209468480 is an abundant number, since it is smaller than the sum of its proper divisors (13456008000).

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

4209468480 is a wasteful number, since it uses less digits than its factorization.

4209468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4209468480 is about 64880.4167680819. The cubic root of 4209468480 is about 1614.6401739038.

The spelling of 4209468480 in words is "four billion, two hundred nine million, four hundred sixty-eight thousand, four hundred eighty".