46384000 has 128 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 17049600.

The previous prime is 46383989. The next prime is 46384003. The reversal of 46384000 is 48364.

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46384003) 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, 207889 + ... + 208111.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^46384000 is an apocalyptic number.

46384000 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 46384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

46384000 is an abundant number, since it is smaller than the sum of its proper divisors (78366080).

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

46384000 is a wasteful number, since it uses less digits than its factorization.

46384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 46384000 is about 6810.5800046692. The cubic root of 46384000 is about 359.2990475910.

The spelling of 46384000 in words is "forty-six million, three hundred eighty-four thousand".