46934496 has 144 divisors (see below), whose sum is σ = 157667328. Its totient is φ = 12960000.

The previous prime is 46934477. The next prime is 46934519. The reversal of 46934496 is 69443964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62121 + ... + 62871.

It is an arithmetic number, because the mean of its divisors is an integer number (1094912).

Almost surely, 2^46934496 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 46934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78833664).

46934496 is an abundant number, since it is smaller than the sum of its proper divisors (110732832).

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

46934496 is a wasteful number, since it uses less digits than its factorization.

46934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 46934496 is about 6850.8755644808. The cubic root of 46934496 is about 360.7148757806.

The spelling of 46934496 in words is "forty-six million, nine hundred thirty-four thousand, four hundred ninety-six".