46288704 has 224 divisors, whose sum is σ = 159178752. Its totient is φ = 11520000.

The previous prime is 46288699. The next prime is 46288709. The reversal of 46288704 is 40788264.

It is an interprime number because it is at equal distance from previous prime (46288699) and next prime (46288709).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46288709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458254 + ... + 458354.

Almost surely, 2^46288704 is an apocalyptic number.

46288704 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 46288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79589376).

46288704 is an abundant number, since it is smaller than the sum of its proper divisors (112890048).

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

46288704 is a wasteful number, since it uses less digits than its factorization.

46288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 46288704 is about 6803.5802339651. The cubic root of 46288704 is about 359.0528187377.

The spelling of 46288704 in words is "forty-six million, two hundred eighty-eight thousand, seven hundred four".