4606986240 has 384 divisors, whose sum is σ = 17257968000. Its totient is φ = 1162543104.

The previous prime is 4606986239. The next prime is 4606986253. The reversal of 4606986240 is 426896064.

4606986240 is a `hidden beast` number, since 460 + 6 + 98 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5252682 + ... + 5253558.

It is an arithmetic number, because the mean of its divisors is an integer number (44942625).

Almost surely, 2^4606986240 is an apocalyptic number.

4606986240 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 4606986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628984000).

4606986240 is an abundant number, since it is smaller than the sum of its proper divisors (12650981760).

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

4606986240 is a wasteful number, since it uses less digits than its factorization.

4606986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4606986240 is about 67874.7835355664. The cubic root of 4606986240 is about 1663.9450179072.

The spelling of 4606986240 in words is "four billion, six hundred six million, nine hundred eighty-six thousand, two hundred forty".