46072880 has 80 divisors (see below), whose sum is σ = 126688320. Its totient is φ = 15246336.

The previous prime is 46072877. The next prime is 46072919. The reversal of 46072880 is 8827064.

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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 46072880.

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, 14822 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 2^46072880 is an apocalyptic number.

46072880 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 46072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63344160).

46072880 is an abundant number, since it is smaller than the sum of its proper divisors (80615440).

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

46072880 is a wasteful number, since it uses less digits than its factorization.

46072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 46072880 is about 6787.7006416017. The cubic root of 46072880 is about 358.4939137261.

The spelling of 46072880 in words is "forty-six million, seventy-two thousand, eight hundred eighty".