406460603052 has 216 divisors, whose sum is σ = 1236744709200. Its totient is φ = 112154499072.

The previous prime is 406460603051. The next prime is 406460603069. The reversal of 406460603052 is 250306064604.

406460603052 is a `hidden beast` number, since 4 + 0 + 6 + 46 + 0 + 603 + 0 + 5 + 2 = 666.

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 = 406460602998 and 406460603016.

It is not an unprimeable number, because it can be changed into a prime (406460603051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6720724 + ... + 6780932.

It is an arithmetic number, because the mean of its divisors is an integer number (5725669950).

Almost surely, 2^406460603052 is an apocalyptic number.

406460603052 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 406460603052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618372354600).

406460603052 is an abundant number, since it is smaller than the sum of its proper divisors (830284106148).

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

406460603052 is a wasteful number, since it uses less digits than its factorization.

406460603052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60365 (or 60353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 406460603052 its reverse (250306064604), we get a palindrome (656766667656).

The spelling of 406460603052 in words is "four hundred six billion, four hundred sixty million, six hundred three thousand, fifty-two".