408232061600 has 288 divisors, whose sum is σ = 1101625116480. Its totient is φ = 146488320000.

The previous prime is 408232061599. The next prime is 408232061609. The reversal of 408232061600 is 6160232804.

It is a super-4 number, since 4×408232061600⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (408232061609) 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, 363518639 + ... + 363519761.

It is an arithmetic number, because the mean of its divisors is an integer number (3825087210).

Almost surely, 2^408232061600 is an apocalyptic number.

408232061600 is a gapful number since it is divisible by the number (40) 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 408232061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550812558240).

408232061600 is an abundant number, since it is smaller than the sum of its proper divisors (693393054880).

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

408232061600 is a wasteful number, since it uses less digits than its factorization.

408232061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 408232061600 in words is "four hundred eight billion, two hundred thirty-two million, sixty-one thousand, six hundred".