406397532420 has 384 divisors, whose sum is σ = 1436455157760. Its totient is φ = 94493952000.

The previous prime is 406397532379. The next prime is 406397532427. The reversal of 406397532420 is 24235793604.

406397532420 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 97 + 532 + 4 + 20 = 666.

406397532420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×406397532420³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (406397532427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20798055 + ... + 20817585.

It is an arithmetic number, because the mean of its divisors is an integer number (3740768640).

Almost surely, 2^406397532420 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 406397532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718227578880).

406397532420 is an abundant number, since it is smaller than the sum of its proper divisors (1030057625340).

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

406397532420 is a wasteful number, since it uses less digits than its factorization.

406397532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19704 (or 19696 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 406397532420 in words is "four hundred six billion, three hundred ninety-seven million, five hundred thirty-two thousand, four hundred twenty".