46812480 has 336 divisors, whose sum is σ = 181612032. Its totient is φ = 10137600.

The previous prime is 46812473. The next prime is 46812481. The reversal of 46812480 is 8421864.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46812481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510065 + ... + 1510095.

It is an arithmetic number, because the mean of its divisors is an integer number (540512).

Almost surely, 2^46812480 is an apocalyptic number.

46812480 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 46812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90806016).

46812480 is an abundant number, since it is smaller than the sum of its proper divisors (134799552).

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

46812480 is a wasteful number, since it uses less digits than its factorization.

46812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 46812480 is about 6841.9646301337. The cubic root of 46812480 is about 360.4020200240.

The spelling of 46812480 in words is "forty-six million, eight hundred twelve thousand, four hundred eighty".