46752000 has 144 divisors (see below), whose sum is σ = 155605632. Its totient is φ = 12441600.

The previous prime is 46751987. The next prime is 46752001. The reversal of 46752000 is 25764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (46752001) 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, 95757 + ... + 96243.

Almost surely, 2^46752000 is an apocalyptic number.

46752000 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 46752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77802816).

46752000 is an abundant number, since it is smaller than the sum of its proper divisors (108853632).

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

46752000 is an equidigital number, since it uses as much as digits as its factorization.

46752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 46752000 is about 6837.5434185093. The cubic root of 46752000 is about 360.2467444227.

Adding to 46752000 its reverse (25764), we get a palindrome (46777764).

The spelling of 46752000 in words is "forty-six million, seven hundred fifty-two thousand".