46070880 has 96 divisors (see below), whose sum is σ = 148726368. Its totient is φ = 11980800.

The previous prime is 46070873. The next prime is 46070903. The reversal of 46070880 is 8807064.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18510 + ... + 20850.

It is an arithmetic number, because the mean of its divisors is an integer number (1549233).

Almost surely, 2^46070880 is an apocalyptic number.

46070880 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 46070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74363184).

46070880 is an abundant number, since it is smaller than the sum of its proper divisors (102655488).

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

46070880 is a wasteful number, since it uses less digits than its factorization.

46070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 46070880 is about 6787.5533147077. The cubic root of 46070880 is about 358.4887263057.

The spelling of 46070880 in words is "forty-six million, seventy thousand, eight hundred eighty".