46901376 has 128 divisors (see below), whose sum is σ = 142228800. Its totient is φ = 15206400.

The previous prime is 46901353. The next prime is 46901377. The reversal of 46901376 is 67310964.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46901376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46901377) 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, 141531 + ... + 141861.

Almost surely, 2^46901376 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 46901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71114400).

46901376 is an abundant number, since it is smaller than the sum of its proper divisors (95327424).

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

46901376 is a wasteful number, since it uses less digits than its factorization.

46901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 46901376 is about 6848.4579286143. The cubic root of 46901376 is about 360.6300079402.

The spelling of 46901376 in words is "forty-six million, nine hundred one thousand, three hundred seventy-six".