46284693840 has 1280 divisors, whose sum is σ = 210637946880. Its totient is φ = 9061632000.

The previous prime is 46284693781. The next prime is 46284693841. The reversal of 46284693840 is 4839648264.

46284693840 is a `hidden beast` number, since 4 + 628 + 4 + 6 + 9 + 3 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×46284693840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46284693841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 242328145 + ... + 242328335.

It is an arithmetic number, because the mean of its divisors is an integer number (164560896).

Almost surely, 2^46284693840 is an apocalyptic number.

46284693840 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 46284693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105318973440).

46284693840 is an abundant number, since it is smaller than the sum of its proper divisors (164353253040).

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

46284693840 is a wasteful number, since it uses less digits than its factorization.

46284693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 46284693840 in words is "forty-six billion, two hundred eighty-four million, six hundred ninety-three thousand, eight hundred forty".