46934880 has 96 divisors (see below), whose sum is σ = 148798944. Its totient is φ = 12435456.

The previous prime is 46934869. The next prime is 46934891. The reversal of 46934880 is 8843964.

It is an interprime number because it is at equal distance from previous prime (46934869) and next prime (46934891).

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

It is a super-2 number, since 2×46934880² = 4405765921228800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 132784 + ... + 133136.

It is an arithmetic number, because the mean of its divisors is an integer number (1549989).

Almost surely, 2^46934880 is an apocalyptic number.

46934880 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 46934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74399472).

46934880 is an abundant number, since it is smaller than the sum of its proper divisors (101864064).

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

46934880 is a wasteful number, since it uses less digits than its factorization.

46934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 46934880 is about 6850.9035900383. The cubic root of 46934880 is about 360.7158595214.

The spelling of 46934880 in words is "forty-six million, nine hundred thirty-four thousand, eight hundred eighty".