408225031032 has 192 divisors, whose sum is σ = 1306532160000. Its totient is φ = 103950991872.

The previous prime is 408225031007. The next prime is 408225031033. The reversal of 408225031032 is 230130522804.

It is a super-2 number, since 2×408225031032² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408225031033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575469 + ... + 1071267.

It is an arithmetic number, because the mean of its divisors is an integer number (6804855000).

Almost surely, 2^408225031032 is an apocalyptic number.

408225031032 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 408225031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653266080000).

408225031032 is an abundant number, since it is smaller than the sum of its proper divisors (898307128968).

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

408225031032 is a wasteful number, since it uses less digits than its factorization.

408225031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495870 (or 495853 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 408225031032 its reverse (230130522804), we get a palindrome (638355553836).

The spelling of 408225031032 in words is "four hundred eight billion, two hundred twenty-five million, thirty-one thousand, thirty-two".