408063420 has 120 divisors (see below), whose sum is σ = 1285664688. Its totient is φ = 108345600.

The previous prime is 408063419. The next prime is 408063449. The reversal of 408063420 is 24360804.

408063420 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 634 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 535840 + ... + 536600.

Almost surely, 2^408063420 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 408063420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642832344).

408063420 is an abundant number, since it is smaller than the sum of its proper divisors (877601268).

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

408063420 is a wasteful number, since it uses less digits than its factorization.

408063420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 408063420 is about 20200.5796946523. The cubic root of 408063420 is about 741.7243813746.

The spelling of 408063420 in words is "four hundred eight million, sixty-three thousand, four hundred twenty".