408263064 has 128 divisors (see below), whose sum is σ = 1179463680. Its totient is φ = 116547200.

The previous prime is 408263059. The next prime is 408263071. The reversal of 408263064 is 460362804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430639 + ... + 431585.

It is an arithmetic number, because the mean of its divisors is an integer number (9214560).

Almost surely, 2^408263064 is an apocalyptic number.

408263064 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 408263064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589731840).

408263064 is an abundant number, since it is smaller than the sum of its proper divisors (771200616).

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

408263064 is a wasteful number, since it uses less digits than its factorization.

408263064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 408263064 is about 20205.5206317481. The cubic root of 408263064 is about 741.8453239147.

The spelling of 408263064 in words is "four hundred eight million, two hundred sixty-three thousand, sixty-four".