46048800 has 144 divisors (see below), whose sum is σ = 171364032. Its totient is φ = 10521600.

The previous prime is 46048789. The next prime is 46048811. The reversal of 46048800 is 884064.

It is an interprime number because it is at equal distance from previous prime (46048789) and next prime (46048811).

It is a super-3 number, since 3×46048800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15430 + ... + 18170.

It is an arithmetic number, because the mean of its divisors is an integer number (1190028).

Almost surely, 2^46048800 is an apocalyptic number.

46048800 is a gapful number since it is divisible by the number (40) 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 46048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85682016).

46048800 is an abundant number, since it is smaller than the sum of its proper divisors (125315232).

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

46048800 is a wasteful number, since it uses less digits than its factorization.

46048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 46048800 is about 6785.9266132195. The cubic root of 46048800 is about 358.4314472034.

The spelling of 46048800 in words is "forty-six million, forty-eight thousand, eight hundred".