4362900480 has 264 divisors, whose sum is σ = 15336238632. Its totient is φ = 1146617856.

The previous prime is 4362900467. The next prime is 4362900539. The reversal of 4362900480 is 840092634.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1899565056 + 2463335424 = 43584^2 + 49632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3363192 + ... + 3364488.

It is an arithmetic number, because the mean of its divisors is an integer number (58091813).

Almost surely, 2^4362900480 is an apocalyptic number.

4362900480 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 4362900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668119316).

4362900480 is an abundant number, since it is smaller than the sum of its proper divisors (10973338152).

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

4362900480 is a wasteful number, since it uses less digits than its factorization.

4362900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4362900480 is about 66052.2556768503. The cubic root of 4362900480 is about 1634.0240170216.

The spelling of 4362900480 in words is "four billion, three hundred sixty-two million, nine hundred thousand, four hundred eighty".