46826640 has 320 divisors, whose sum is σ = 195225600. Its totient is φ = 10077696.

The previous prime is 46826639. The next prime is 46826641. The reversal of 46826640 is 4662864.

It is a happy number.

46826640 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (46826639) and next prime (46826641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46826595 and 46826604.

It is not an unprimeable number, because it can be changed into a prime (46826641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287199 + ... + 287361.

It is an arithmetic number, because the mean of its divisors is an integer number (610080).

Almost surely, 2^46826640 is an apocalyptic number.

46826640 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 46826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97612800).

46826640 is an abundant number, since it is smaller than the sum of its proper divisors (148398960).

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

46826640 is a wasteful number, since it uses less digits than its factorization.

46826640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 46826640 is about 6842.9993423937. Note that the first 3 decimals coincide. The cubic root of 46826640 is about 360.4383549083.

The spelling of 46826640 in words is "forty-six million, eight hundred twenty-six thousand, six hundred forty".