468961040 has 40 divisors (see below), whose sum is σ = 1147724160. Its totient is φ = 177710976.

The previous prime is 468961027. The next prime is 468961043. The reversal of 468961040 is 40169864.

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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 468960985 and 468961003.

It is not an unprimeable number, because it can be changed into a prime (468961043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152744 + ... + 155783.

It is an arithmetic number, because the mean of its divisors is an integer number (28693104).

Almost surely, 2^468961040 is an apocalyptic number.

468961040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468961040 is an abundant number, since it is smaller than the sum of its proper divisors (678763120).

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

468961040 is a wasteful number, since it uses less digits than its factorization.

468961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308559 (or 308553 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 468961040 is about 21655.5083062024. The cubic root of 468961040 is about 776.9246868373.

The spelling of 468961040 in words is "four hundred sixty-eight million, nine hundred sixty-one thousand, forty".