46965000 has 160 divisors (see below), whose sum is σ = 152951040. Its totient is φ = 12000000.

The previous prime is 46964993. The next prime is 46965001. The reversal of 46965000 is 56964.

It is a super-2 number, since 2×46965000² = 4411422450000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46965001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464950 + ... + 465050.

It is an arithmetic number, because the mean of its divisors is an integer number (955944).

Almost surely, 2^46965000 is an apocalyptic number.

46965000 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 46965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76475520).

46965000 is an abundant number, since it is smaller than the sum of its proper divisors (105986040).

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

46965000 is a wasteful number, since it uses less digits than its factorization.

46965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 46965000 is about 6853.1014876478. The cubic root of 46965000 is about 360.7930049791.

The spelling of 46965000 in words is "forty-six million, nine hundred sixty-five thousand".