46968000 has 224 divisors, whose sum is σ = 164835840. Its totient is φ = 11750400.

The previous prime is 46967983. The next prime is 46968011. The reversal of 46968000 is 86964.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455949 + ... + 456051.

Almost surely, 2^46968000 is an apocalyptic number.

46968000 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 46968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82417920).

46968000 is an abundant number, since it is smaller than the sum of its proper divisors (117867840).

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

46968000 is a wasteful number, since it uses less digits than its factorization.

46968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 46968000 is about 6853.3203631524. The cubic root of 46968000 is about 360.8006869832.

The spelling of 46968000 in words is "forty-six million, nine hundred sixty-eight thousand".