46273968 has 120 divisors (see below), whose sum is σ = 146917680. Its totient is φ = 13478400.

The previous prime is 46273957. The next prime is 46273993. The reversal of 46273968 is 86937264.

It is a super-2 number, since 2×46273968² = 4282560228930048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34918 + ... + 36218.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^46273968 is an apocalyptic number.

46273968 is a gapful number since it is divisible by the number (48) 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 46273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

46273968 is an abundant number, since it is smaller than the sum of its proper divisors (100643712).

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

46273968 is a wasteful number, since it uses less digits than its factorization.

46273968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 46273968 is about 6802.4971885330. The cubic root of 46273968 is about 359.0147132286.

The spelling of 46273968 in words is "forty-six million, two hundred seventy-three thousand, nine hundred sixty-eight".