4008496 has 40 divisors (see below), whose sum is σ = 8236080. Its totient is φ = 1886976.

The previous prime is 4008461. The next prime is 4008523. The reversal of 4008496 is 6948004.

4008496 = 73² + 74² + ... + 231².

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24511 + ... + 24673.

It is an arithmetic number, because the mean of its divisors is an integer number (205902).

Almost surely, 2^4008496 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 4008496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118040).

4008496 is an abundant number, since it is smaller than the sum of its proper divisors (4227584).

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

4008496 is a wasteful number, since it uses less digits than its factorization.

4008496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4008496 is about 2002.1228733522. The cubic root of 4008496 is about 158.8524137144.

The spelling of 4008496 in words is "four million, eight thousand, four hundred ninety-six".