905667480 has 320 divisors, whose sum is σ = 3211591680. Its totient is φ = 228614400.

The previous prime is 905667479. The next prime is 905667517. The reversal of 905667480 is 84766509.

905667480 is a `hidden beast` number, since 9 + 0 + 566 + 7 + 4 + 80 = 666.

It is a super-3 number, since 3×905667480³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7131177 + ... + 7131303.

It is an arithmetic number, because the mean of its divisors is an integer number (10036224).

Almost surely, 2^905667480 is an apocalyptic number.

905667480 is a gapful number since it is divisible by the number (90) 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 905667480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605795840).

905667480 is an abundant number, since it is smaller than the sum of its proper divisors (2305924200).

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

905667480 is a wasteful number, since it uses less digits than its factorization.

905667480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 905667480 is about 30094.3097611492. The cubic root of 905667480 is about 967.5117719858.

The spelling of 905667480 in words is "nine hundred five million, six hundred sixty-seven thousand, four hundred eighty".