4946538240 has 864 divisors, whose sum is σ = 21474754560. Its totient is φ = 1072963584.

The previous prime is 4946538227. The next prime is 4946538277. The reversal of 4946538240 is 428356494.

4946538240 is a `hidden beast` number, since 4 + 94 + 6 + 538 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38949057 + ... + 38949183.

It is an arithmetic number, because the mean of its divisors is an integer number (24855040).

Almost surely, 2^4946538240 is an apocalyptic number.

4946538240 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 4946538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737377280).

4946538240 is an abundant number, since it is smaller than the sum of its proper divisors (16528216320).

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

4946538240 is a wasteful number, since it uses less digits than its factorization.

4946538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4946538240 is about 70331.6304375208. The cubic root of 4946538240 is about 1703.8595400985.

The spelling of 4946538240 in words is "four billion, nine hundred forty-six million, five hundred thirty-eight thousand, two hundred forty".