467704440 has 192 divisors, whose sum is σ = 1793525760. Its totient is φ = 103438080.

The previous prime is 467704429. The next prime is 467704441. The reversal of 467704440 is 44407764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 467704395 and 467704404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467704441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75127 + ... + 81113.

It is an arithmetic number, because the mean of its divisors is an integer number (9341280).

Almost surely, 2^467704440 is an apocalyptic number.

467704440 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 467704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896762880).

467704440 is an abundant number, since it is smaller than the sum of its proper divisors (1325821320).

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

467704440 is a wasteful number, since it uses less digits than its factorization.

467704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 467704440 is about 21626.4754409959. The cubic root of 467704440 is about 776.2301324390.

The spelling of 467704440 in words is "four hundred sixty-seven million, seven hundred four thousand, four hundred forty".