46993840 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 17369856.

The previous prime is 46993829. The next prime is 46993841. The reversal of 46993840 is 4839964.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (46993841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65001 + ... + 65719.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^46993840 is an apocalyptic number.

46993840 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 46993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

46993840 is an abundant number, since it is smaller than the sum of its proper divisors (70855760).

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

46993840 is a wasteful number, since it uses less digits than its factorization.

46993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 46993840 is about 6855.2053215057. The cubic root of 46993840 is about 360.8668411061.

The spelling of 46993840 in words is "forty-six million, nine hundred ninety-three thousand, eight hundred forty".