46951872 has 168 divisors, whose sum is σ = 142695168. Its totient is φ = 13601280.

The previous prime is 46951843. The next prime is 46951873. The reversal of 46951872 is 27815964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46951873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998953 + ... + 998999.

It is an arithmetic number, because the mean of its divisors is an integer number (849376).

Almost surely, 2^46951872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71347584).

46951872 is an abundant number, since it is smaller than the sum of its proper divisors (95743296).

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

46951872 is a wasteful number, since it uses less digits than its factorization.

46951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 46951872 is about 6852.1436062009. The cubic root of 46951872 is about 360.7593846805.

The spelling of 46951872 in words is "forty-six million, nine hundred fifty-one thousand, eight hundred seventy-two".