46046880 has 480 divisors, whose sum is σ = 197588160. Its totient is φ = 9953280.

The previous prime is 46046879. The next prime is 46046881. The reversal of 46046880 is 8864064.

46046880 = T₂₃₁₉ + T₂₃₂₀ + ... + T₂₃₃₅.

It is an interprime number because it is at equal distance from previous prime (46046879) and next prime (46046881).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (46046881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423511 + ... + 2423529.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^46046880 is an apocalyptic number.

46046880 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 46046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

46046880 is an abundant number, since it is smaller than the sum of its proper divisors (151541280).

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

46046880 is a wasteful number, since it uses less digits than its factorization.

46046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46046880 is about 6785.7851424872. The cubic root of 46046880 is about 358.4264655467.

The spelling of 46046880 in words is "forty-six million, forty-six thousand, eight hundred eighty".