46807320 has 128 divisors (see below), whose sum is σ = 162339840. Its totient is φ = 10575360.

The previous prime is 46807309. The next prime is 46807333. The reversal of 46807320 is 2370864.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 86250 + ... + 86790.

It is an arithmetic number, because the mean of its divisors is an integer number (1268280).

Almost surely, 2^46807320 is an apocalyptic number.

46807320 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 46807320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81169920).

46807320 is an abundant number, since it is smaller than the sum of its proper divisors (115532520).

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

46807320 is a wasteful number, since it uses less digits than its factorization.

46807320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46807320 is about 6841.5875350682. The cubic root of 46807320 is about 360.3887775243.

The spelling of 46807320 in words is "forty-six million, eight hundred seven thousand, three hundred twenty".