4000306464 has 648 divisors, whose sum is σ = 15420577536. Its totient is φ = 961804800.

The previous prime is 4000306459. The next prime is 4000306501. The reversal of 4000306464 is 4646030004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129042129 + ... + 129042159.

Almost surely, 2^4000306464 is an apocalyptic number.

4000306464 is a gapful number since it is divisible by the number (44) 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 4000306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710288768).

4000306464 is an abundant number, since it is smaller than the sum of its proper divisors (11420271072).

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

4000306464 is a wasteful number, since it uses less digits than its factorization.

4000306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4000306464 is about 63247.9759676150. The cubic root of 4000306464 is about 1587.4415910392.

Adding to 4000306464 its reverse (4646030004), we get a palindrome (8646336468).

The spelling of 4000306464 in words is "four billion, three hundred six thousand, four hundred sixty-four".