46146480 has 80 divisors (see below), whose sum is σ = 146133504. Its totient is φ = 12040960.

The previous prime is 46146461. The next prime is 46146481. The reversal of 46146480 is 8464164.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (46146481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9235 + ... + 13325.

Almost surely, 2^46146480 is an apocalyptic number.

46146480 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 46146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73066752).

46146480 is an abundant number, since it is smaller than the sum of its proper divisors (99987024).

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

46146480 is a wasteful number, since it uses less digits than its factorization.

46146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46146480 is about 6793.1200489907. The cubic root of 46146480 is about 358.6847064780.

The spelling of 46146480 in words is "forty-six million, one hundred forty-six thousand, four hundred eighty".