408303447552 has 1920 divisors, whose sum is σ = 1729617297408. Its totient is φ = 89181388800.

The previous prime is 408303447547. The next prime is 408303447557. The reversal of 408303447552 is 255744303804.

It is an interprime number because it is at equal distance from previous prime (408303447547) and next prime (408303447557).

It is a junction number, because it is equal to n+sod(n) for n = 408303447498 and 408303447507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408303447557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3214987713 + ... + 3214987839.

Almost surely, 2^408303447552 is an apocalyptic number.

408303447552 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 408303447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864808648704).

408303447552 is an abundant number, since it is smaller than the sum of its proper divisors (1321313849856).

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

408303447552 is a wasteful number, since it uses less digits than its factorization.

408303447552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 408303447552 in words is "four hundred eight billion, three hundred three million, four hundred forty-seven thousand, five hundred fifty-two".