406060032 has 176 divisors, whose sum is σ = 1292262912. Its totient is φ = 110837760.

The previous prime is 406060013. The next prime is 406060049. The reversal of 406060032 is 230060604.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 406059990 and 406060008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494182 + ... + 495002.

Almost surely, 2^406060032 is an apocalyptic number.

406060032 is a gapful number since it is divisible by the number (42) 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 406060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646131456).

406060032 is an abundant number, since it is smaller than the sum of its proper divisors (886202880).

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

406060032 is a wasteful number, since it uses less digits than its factorization.

406060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 406060032 is about 20150.9312936152. The cubic root of 406060032 is about 740.5085571640.

The spelling of 406060032 in words is "four hundred six million, sixty thousand, thirty-two".