46416240 has 400 divisors, whose sum is σ = 189050400. Its totient is φ = 10450944.

The previous prime is 46416203. The next prime is 46416257. The reversal of 46416240 is 4261464.

46416240 is a `hidden beast` number, since 4 + 6 + 416 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600546 + ... + 1600574.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^46416240 is an apocalyptic number.

46416240 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 46416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

46416240 is an abundant number, since it is smaller than the sum of its proper divisors (142634160).

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

46416240 is a wasteful number, since it uses less digits than its factorization.

46416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46416240 is about 6812.9464991294. The cubic root of 46416240 is about 359.3822739801.

It can be divided in two parts, 46416 and 240, that added together give a 6-th power (46656 = 6⁶).

The spelling of 46416240 in words is "forty-six million, four hundred sixteen thousand, two hundred forty".