467745408 has 256 divisors, whose sum is σ = 1542240000. Its totient is φ = 138571776.

The previous prime is 467745389. The next prime is 467745517. The reversal of 467745408 is 804547764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302733 + ... + 1303091.

It is an arithmetic number, because the mean of its divisors is an integer number (6024375).

Almost surely, 2^467745408 is an apocalyptic number.

467745408 is a gapful number since it is divisible by the number (48) 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 467745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

467745408 is an abundant number, since it is smaller than the sum of its proper divisors (1074494592).

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

467745408 is a wasteful number, since it uses less digits than its factorization.

467745408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 467745408 is about 21627.4225926253. The cubic root of 467745408 is about 776.2527960879.

The spelling of 467745408 in words is "four hundred sixty-seven million, seven hundred forty-five thousand, four hundred eight".