406020605952 has 384 divisors, whose sum is σ = 1288059252480. Its totient is φ = 112459776000.

The previous prime is 406020605941. The next prime is 406020605953. The reversal of 406020605952 is 259506020604.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×406020605952³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 406020605952.

It is not an unprimeable number, because it can be changed into a prime (406020605953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31223452 + ... + 31236452.

It is an arithmetic number, because the mean of its divisors is an integer number (3354320970).

Almost surely, 2^406020605952 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 406020605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644029626240).

406020605952 is an abundant number, since it is smaller than the sum of its proper divisors (882038646528).

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

406020605952 is a wasteful number, since it uses less digits than its factorization.

406020605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 406020605952 in words is "four hundred six billion, twenty million, six hundred five thousand, nine hundred fifty-two".