46809920 has 56 divisors (see below), whose sum is σ = 117348000. Its totient is φ = 17736192.

The previous prime is 46809887. The next prime is 46809943. The reversal of 46809920 is 2990864.

It is a super-2 number, since 2×46809920² = 4382337220812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2231 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (2095500).

Almost surely, 2^46809920 is an apocalyptic number.

46809920 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 46809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58674000).

46809920 is an abundant number, since it is smaller than the sum of its proper divisors (70538080).

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

46809920 is a wasteful number, since it uses less digits than its factorization.

46809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 46809920 is about 6841.7775468076. Note that the first 3 decimals coincide. The cubic root of 46809920 is about 360.3954502233.

The spelling of 46809920 in words is "forty-six million, eight hundred nine thousand, nine hundred twenty".