46920960 has 108 divisors (see below), whose sum is σ = 162381492. Its totient is φ = 12509184.

The previous prime is 46920931. The next prime is 46920961. The reversal of 46920960 is 6902964.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 36578304 = 3216^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46920961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9484 + ... + 13556.

Almost surely, 2^46920960 is an apocalyptic number.

46920960 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 46920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81190746).

46920960 is an abundant number, since it is smaller than the sum of its proper divisors (115460532).

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

46920960 is a wasteful number, since it uses less digits than its factorization.

46920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 46920960 is about 6849.8875903185. The cubic root of 46920960 is about 360.6801954890.

The spelling of 46920960 in words is "forty-six million, nine hundred twenty thousand, nine hundred sixty".