46480896 has 240 divisors, whose sum is σ = 168524928. Its totient is φ = 11980800.

The previous prime is 46480891. The next prime is 46480909. The reversal of 46480896 is 69808464.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46480891) 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, 354751 + ... + 354881.

Almost surely, 2^46480896 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 46480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

46480896 is an abundant number, since it is smaller than the sum of its proper divisors (122044032).

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

46480896 is a wasteful number, since it uses less digits than its factorization.

46480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46480896 is about 6817.6899313477. The cubic root of 46480896 is about 359.5490650256.

The spelling of 46480896 in words is "forty-six million, four hundred eighty thousand, eight hundred ninety-six".