46643040 has 240 divisors, whose sum is σ = 170145360. Its totient is φ = 12026880.

The previous prime is 46643039. The next prime is 46643071. The reversal of 46643040 is 4034664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46642995 and 46643013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764610 + ... + 764670.

It is an arithmetic number, because the mean of its divisors is an integer number (708939).

Almost surely, 2^46643040 is an apocalyptic number.

46643040 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 46643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

46643040 is an abundant number, since it is smaller than the sum of its proper divisors (123502320).

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

46643040 is a wasteful number, since it uses less digits than its factorization.

46643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46643040 is about 6829.5709967757. The cubic root of 46643040 is about 359.9666635798.

The spelling of 46643040 in words is "forty-six million, six hundred forty-three thousand, forty".