46789920 has 96 divisors (see below), whose sum is σ = 163779840. Its totient is φ = 12476160.

The previous prime is 46789879. The next prime is 46789927. The reversal of 46789920 is 2998764.

It is a happy number.

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

It is a super-2 number, since 2×46789920² = 4378593227212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46789927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (1706040).

Almost surely, 2^46789920 is an apocalyptic number.

46789920 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 46789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81889920).

46789920 is an abundant number, since it is smaller than the sum of its proper divisors (116989920).

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

46789920 is a wasteful number, since it uses less digits than its factorization.

46789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 46789920 is about 6840.3157821843. The cubic root of 46789920 is about 360.3441154079.

The spelling of 46789920 in words is "forty-six million, seven hundred eighty-nine thousand, nine hundred twenty".