4462907904 has 480 divisors, whose sum is σ = 16443947520. Its totient is φ = 1133346816.

The previous prime is 4462907903. The next prime is 4462907959. The reversal of 4462907904 is 4097092644.

It is a self number, because there is not a number n which added to its sum of digits gives 4462907904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4462907903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12160329 + ... + 12160695.

It is an arithmetic number, because the mean of its divisors is an integer number (34258224).

Almost surely, 2^4462907904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4462907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221973760).

4462907904 is an abundant number, since it is smaller than the sum of its proper divisors (11981039616).

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

4462907904 is a wasteful number, since it uses less digits than its factorization.

4462907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4462907904 is about 66804.9990943792. Note that the first 3 decimals coincide. The cubic root of 4462907904 is about 1646.4149777499.

The spelling of 4462907904 in words is "four billion, four hundred sixty-two million, nine hundred seven thousand, nine hundred four".