4620097440 has 480 divisors, whose sum is σ = 18827956224. Its totient is φ = 1045094400.

The previous prime is 4620097393. The next prime is 4620097441. The reversal of 4620097440 is 447900264.

4620097440 is a `hidden beast` number, since 4 + 6 + 200 + 9 + 7 + 440 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4620097395 and 4620097404.

It is not an unprimeable number, because it can be changed into a prime (4620097441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11521240 + ... + 11521640.

Almost surely, 2^4620097440 is an apocalyptic number.

4620097440 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 4620097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413978112).

4620097440 is an abundant number, since it is smaller than the sum of its proper divisors (14207858784).

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

4620097440 is a wasteful number, since it uses less digits than its factorization.

4620097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4620097440 is about 67971.2986487679. The cubic root of 4620097440 is about 1665.5220179587.

The spelling of 4620097440 in words is "four billion, six hundred twenty million, ninety-seven thousand, four hundred forty".