46829880 has 128 divisors (see below), whose sum is σ = 157766400. Its totient is φ = 12355200.

The previous prime is 46829879. The next prime is 46829911. The reversal of 46829880 is 8892864.

46829880 = 720² + 721² + ... + 800².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141315 + ... + 141645.

It is an arithmetic number, because the mean of its divisors is an integer number (1232550).

Almost surely, 2^46829880 is an apocalyptic number.

46829880 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 46829880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78883200).

46829880 is an abundant number, since it is smaller than the sum of its proper divisors (110936520).

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

46829880 is a wasteful number, since it uses less digits than its factorization.

46829880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 46829880 is about 6843.2360765942. The cubic root of 46829880 is about 360.4466677927.

The spelling of 46829880 in words is "forty-six million, eight hundred twenty-nine thousand, eight hundred eighty".