46729116 has 96 divisors (see below), whose sum is σ = 139937280. Its totient is φ = 13208832.

The previous prime is 46729103. The next prime is 46729129. The reversal of 46729116 is 61192764.

It is an interprime number because it is at equal distance from previous prime (46729103) and next prime (46729129).

It is a super-2 number, since 2×46729116² = 4367220564282912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18144) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85155 + ... + 85701.

It is an arithmetic number, because the mean of its divisors is an integer number (1457680).

Almost surely, 2^46729116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46729116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69968640).

46729116 is an abundant number, since it is smaller than the sum of its proper divisors (93208164).

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

46729116 is a wasteful number, since it uses less digits than its factorization.

46729116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 46729116 is about 6835.8698056648. The cubic root of 46729116 is about 360.1879574052.

The spelling of 46729116 in words is "forty-six million, seven hundred twenty-nine thousand, one hundred sixteen".