46933040 has 160 divisors (see below), whose sum is σ = 143562240. Its totient is φ = 13824000.

The previous prime is 46933009. The next prime is 46933043. The reversal of 46933040 is 4033964.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46932994 and 46933012.

It is not an unprimeable number, because it can be changed into a prime (46933043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116840 + ... + 117240.

It is an arithmetic number, because the mean of its divisors is an integer number (897264).

Almost surely, 2^46933040 is an apocalyptic number.

46933040 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 46933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71781120).

46933040 is an abundant number, since it is smaller than the sum of its proper divisors (96629200).

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

46933040 is a wasteful number, since it uses less digits than its factorization.

46933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 46933040 is about 6850.7692998670. The cubic root of 46933040 is about 360.7111457147.

The spelling of 46933040 in words is "forty-six million, nine hundred thirty-three thousand, forty".