468073840 has 40 divisors (see below), whose sum is σ = 1171987488. Its totient is φ = 172826880.

The previous prime is 468073831. The next prime is 468073847. The reversal of 468073840 is 48370864.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 468073793 and 468073802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468073847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223996 + ... + 226075.

Almost surely, 2^468073840 is an apocalyptic number.

468073840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468073840 is an abundant number, since it is smaller than the sum of its proper divisors (703913648).

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

468073840 is a wasteful number, since it uses less digits than its factorization.

468073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450097 (or 450091 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 468073840 is about 21635.0142130760. The cubic root of 468073840 is about 776.4344380710.

Adding to 468073840 its product of nonzero digits (129024), we get a palindrome (468202864).

The spelling of 468073840 in words is "four hundred sixty-eight million, seventy-three thousand, eight hundred forty".