46888464 has 80 divisors (see below), whose sum is σ = 141098112. Its totient is φ = 13138944.

The previous prime is 46888463. The next prime is 46888481. The reversal of 46888464 is 46488864.

It is a super-3 number, since 3×46888464³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46888463) 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, 16492 + ... + 19124.

Almost surely, 2^46888464 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 46888464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70549056).

46888464 is an abundant number, since it is smaller than the sum of its proper divisors (94209648).

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

46888464 is a wasteful number, since it uses less digits than its factorization.

46888464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2698 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 46888464 is about 6847.5151697532. The cubic root of 46888464 is about 360.5969109579.

The spelling of 46888464 in words is "forty-six million, eight hundred eighty-eight thousand, four hundred sixty-four".