405367968 has 48 divisors (see below), whose sum is σ = 1079096256. Its totient is φ = 133217280.

The previous prime is 405367961. The next prime is 405367969. The reversal of 405367968 is 869763504.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (405367961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22921 + ... + 36552.

It is an arithmetic number, because the mean of its divisors is an integer number (22481172).

Almost surely, 2^405367968 is an apocalyptic number.

405367968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405367968 is an abundant number, since it is smaller than the sum of its proper divisors (673728288).

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

405367968 is a wasteful number, since it uses less digits than its factorization.

405367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59557 (or 59549 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 405367968 is about 20133.7519603277. The cubic root of 405367968 is about 740.0876253675.

The spelling of 405367968 in words is "four hundred five million, three hundred sixty-seven thousand, nine hundred sixty-eight".