46781280 has 576 divisors, whose sum is σ = 217183680. Its totient is φ = 9289728.

The previous prime is 46781269. The next prime is 46781303. The reversal of 46781280 is 8218764.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751832 + ... + 2751848.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^46781280 is an apocalyptic number.

46781280 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 46781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

46781280 is an abundant number, since it is smaller than the sum of its proper divisors (170402400).

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

46781280 is a wasteful number, since it uses less digits than its factorization.

46781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46781280 is about 6839.6842032363. The cubic root of 46781280 is about 360.3219342429.

The spelling of 46781280 in words is "forty-six million, seven hundred eighty-one thousand, two hundred eighty".