408061764 has 72 divisors (see below), whose sum is σ = 1127861280. Its totient is φ = 123369600.

The previous prime is 408061747. The next prime is 408061769. The reversal of 408061764 is 467160804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408061769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224419 + ... + 226229.

It is an arithmetic number, because the mean of its divisors is an integer number (15664740).

Almost surely, 2^408061764 is an apocalyptic number.

408061764 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 408061764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563930640).

408061764 is an abundant number, since it is smaller than the sum of its proper divisors (719799516).

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

408061764 is a wasteful number, since it uses less digits than its factorization.

408061764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 408061764 is about 20200.5387056880. The cubic root of 408061764 is about 741.7233780198.

The spelling of 408061764 in words is "four hundred eight million, sixty-one thousand, seven hundred sixty-four".