4006464 has 112 divisors (see below), whose sum is σ = 13264896. Its totient is φ = 1036800.

The previous prime is 4006463. The next prime is 4006477. The reversal of 4006464 is 4646004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14649 + ... + 14919.

Almost surely, 2^4006464 is an apocalyptic number.

4006464 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 4006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632448).

4006464 is an abundant number, since it is smaller than the sum of its proper divisors (9258432).

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

4006464 is a wasteful number, since it uses less digits than its factorization.

4006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4006464 is about 2001.6153476630. The cubic root of 4006464 is about 158.8255671811.

The spelling of 4006464 in words is "four million, six thousand, four hundred sixty-four".