46778688 has 224 divisors, whose sum is σ = 158008320. Its totient is φ = 13432320.

The previous prime is 46778671. The next prime is 46778707. The reversal of 46778688 is 88687764.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437131 + ... + 437237.

Almost surely, 2^46778688 is an apocalyptic number.

46778688 is a gapful number since it is divisible by the number (48) 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 46778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

46778688 is an abundant number, since it is smaller than the sum of its proper divisors (111229632).

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

46778688 is a wasteful number, since it uses less digits than its factorization.

46778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 46778688 is about 6839.4947181791. The cubic root of 46778688 is about 360.3152793609.

The spelling of 46778688 in words is "forty-six million, seven hundred seventy-eight thousand, six hundred eighty-eight".