406362528 has 432 divisors, whose sum is σ = 1472022720. Its totient is φ = 108725760.

The previous prime is 406362503. The next prime is 406362547. The reversal of 406362528 is 825263604.

406362528 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 625 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 406362492 and 406362501.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 17667925 + ... + 17667947.

It is an arithmetic number, because the mean of its divisors is an integer number (3407460).

Almost surely, 2^406362528 is an apocalyptic number.

406362528 is a gapful number since it is divisible by the number (48) 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 406362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736011360).

406362528 is an abundant number, since it is smaller than the sum of its proper divisors (1065660192).

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

406362528 is a wasteful number, since it uses less digits than its factorization.

406362528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406362528 is about 20158.4356535918. The cubic root of 406362528 is about 740.6923930983.

The spelling of 406362528 in words is "four hundred six million, three hundred sixty-two thousand, five hundred twenty-eight".