46993824 has 96 divisors (see below), whose sum is σ = 138600000. Its totient is φ = 15489792.

The previous prime is 46993819. The next prime is 46993829. The reversal of 46993824 is 42839964.

It is an interprime number because it is at equal distance from previous prime (46993819) and next prime (46993829).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46993824.

It is not an unprimeable number, because it can be changed into a prime (46993829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93927 + ... + 94425.

It is an arithmetic number, because the mean of its divisors is an integer number (1443750).

Almost surely, 2^46993824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46993824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300000).

46993824 is an abundant number, since it is smaller than the sum of its proper divisors (91606176).

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

46993824 is a wasteful number, since it uses less digits than its factorization.

46993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 46993824 is about 6855.2041545092. The cubic root of 46993824 is about 360.8668001513.

The spelling of 46993824 in words is "forty-six million, nine hundred ninety-three thousand, eight hundred twenty-four".