46764000 has 192 divisors, whose sum is σ = 170614080. Its totient is φ = 12441600.

The previous prime is 46763999. The next prime is 46764007. The reversal of 46764000 is 46764.

46764000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46764007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107784 + ... + 108216.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^46764000 is an apocalyptic number.

46764000 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 46764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

46764000 is an abundant number, since it is smaller than the sum of its proper divisors (123850080).

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

46764000 is a wasteful number, since it uses less digits than its factorization.

46764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46764000 is about 6838.4208703472. The cubic root of 46764000 is about 360.2775637183.

46764000 divided by its reverse (46764) gives a cube (1000 = 10³).

The spelling of 46764000 in words is "forty-six million, seven hundred sixty-four thousand".