46464768 has 216 divisors, whose sum is σ = 159006848. Its totient is φ = 12773376.

The previous prime is 46464763. The next prime is 46464799. The reversal of 46464768 is 86746464.

46464768 = 7² + 8² + ... + 518².

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46464763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693471 + ... + 693537.

Almost surely, 2^46464768 is an apocalyptic number.

46464768 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 46464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79503424).

46464768 is an abundant number, since it is smaller than the sum of its proper divisors (112542080).

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

46464768 is a wasteful number, since it uses less digits than its factorization.

46464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 46464768 is about 6816.5070233955. The cubic root of 46464768 is about 359.5074746186.

The spelling of 46464768 in words is "forty-six million, four hundred sixty-four thousand, seven hundred sixty-eight".