464306040 has 512 divisors, whose sum is σ = 1897344000. Its totient is φ = 100362240.

The previous prime is 464306033. The next prime is 464306041. The reversal of 464306040 is 40603464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 464305995 and 464306013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464306041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24437151 + ... + 24437169.

It is an arithmetic number, because the mean of its divisors is an integer number (3705750).

Almost surely, 2^464306040 is an apocalyptic number.

464306040 is a gapful number since it is divisible by the number (40) 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 464306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948672000).

464306040 is an abundant number, since it is smaller than the sum of its proper divisors (1433037960).

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

464306040 is a wasteful number, since it uses less digits than its factorization.

464306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 464306040 is about 21547.7618327287. The cubic root of 464306040 is about 774.3454980582.

The spelling of 464306040 in words is "four hundred sixty-four million, three hundred six thousand, forty".