467053440 has 512 divisors, whose sum is σ = 1880064000. Its totient is φ = 96215040.

The previous prime is 467053403. The next prime is 467053469. The reversal of 467053440 is 44350764.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916131 + ... + 7916189.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2^467053440 is an apocalyptic number.

467053440 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 467053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940032000).

467053440 is an abundant number, since it is smaller than the sum of its proper divisors (1413010560).

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

467053440 is a wasteful number, since it uses less digits than its factorization.

467053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 467053440 is about 21611.4192037450. The cubic root of 467053440 is about 775.8698190947.

The spelling of 467053440 in words is "four hundred sixty-seven million, fifty-three thousand, four hundred forty".