4613461920 has 336 divisors, whose sum is σ = 16798841640. Its totient is φ = 1195886592.

The previous prime is 4613461891. The next prime is 4613461981. The reversal of 4613461920 is 291643164.

4613461920 is a `hidden beast` number, since 4 + 6 + 1 + 34 + 619 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4325955984 + 287505936 = 65772^2 + 16956^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4315146 + ... + 4316214.

Almost surely, 2^4613461920 is an apocalyptic number.

4613461920 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 4613461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399420820).

4613461920 is an abundant number, since it is smaller than the sum of its proper divisors (12185379720).

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

4613461920 is a wasteful number, since it uses less digits than its factorization.

4613461920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4613461920 is about 67922.4699197548. The cubic root of 4613461920 is about 1664.7242786678.

The spelling of 4613461920 in words is "four billion, six hundred thirteen million, four hundred sixty-one thousand, nine hundred twenty".