46955964 has 48 divisors (see below), whose sum is σ = 120508416. Its totient is φ = 14112000.

The previous prime is 46955963. The next prime is 46955977.

46955964 is nontrivially palindromic in base 10.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46955963) 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, 15364 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (2510592).

Almost surely, 2^46955964 is an apocalyptic number.

46955964 is a gapful number since it is divisible by the number (44) 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 46955964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60254208).

46955964 is an abundant number, since it is smaller than the sum of its proper divisors (73552452).

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

46955964 is a wasteful number, since it uses less digits than its factorization.

46955964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2944 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 46955964 is about 6852.4421923866. The cubic root of 46955964 is about 360.7698648059.

The spelling of 46955964 in words is "forty-six million, nine hundred fifty-five thousand, nine hundred sixty-four".