46778480 has 80 divisors (see below), whose sum is σ = 125658624. Its totient is φ = 15863040.

The previous prime is 46778477. The next prime is 46778491. The reversal of 46778480 is 8487764.

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

It is a super-2 number, since 2×46778480² = 4376452382220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 57275 + ... + 58085.

Almost surely, 2^46778480 is an apocalyptic number.

46778480 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 46778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62829312).

46778480 is an abundant number, since it is smaller than the sum of its proper divisors (78880144).

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

46778480 is a wasteful number, since it uses less digits than its factorization.

46778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 46778480 is about 6839.4795123606. The cubic root of 46778480 is about 360.3147453165.

The spelling of 46778480 in words is "forty-six million, seven hundred seventy-eight thousand, four hundred eighty".