4000464 has 60 divisors (see below), whose sum is σ = 12062596. Its totient is φ = 1230336.

The previous prime is 4000439. The next prime is 4000489. The reversal of 4000464 is 4640004.

It is an interprime number because it is at equal distance from previous prime (4000439) and next prime (4000489).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 3640464 = 600^2 + 1908^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804 + ... + 2940.

Almost surely, 2^4000464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031298).

4000464 is an abundant number, since it is smaller than the sum of its proper divisors (8062132).

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

4000464 is a wasteful number, since it uses less digits than its factorization.

4000464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000464 is about 2000.1159966362. The cubic root of 4000464 is about 158.7462429102.

Adding to 4000464 its reverse (4640004), we get a palindrome (8640468).

The spelling of 4000464 in words is "four million, four hundred sixty-four", and thus it is an aban number.