467026560 has 896 divisors, whose sum is σ = 2247557760. Its totient is φ = 89579520.

The previous prime is 467026559. The next prime is 467026577. The reversal of 467026560 is 65620764.

467026560 is a `hidden beast` number, since 4 + 6 + 70 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×467026560² = 436227615490867200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35925114 + ... + 35925126.

It is an arithmetic number, because the mean of its divisors is an integer number (2508435).

Almost surely, 2^467026560 is an apocalyptic number.

467026560 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 467026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123778880).

467026560 is an abundant number, since it is smaller than the sum of its proper divisors (1780531200).

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

467026560 is a wasteful number, since it uses less digits than its factorization.

467026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 467026560 is about 21610.7973013492. The cubic root of 467026560 is about 775.8549344447.

The spelling of 467026560 in words is "four hundred sixty-seven million, twenty-six thousand, five hundred sixty".