469827207360 has 896 divisors, whose sum is σ = 1938235392000. Its totient is φ = 104924491776.

The previous prime is 469827207359. The next prime is 469827207371. The reversal of 469827207360 is 63702728964.

469827207360 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 272 + 0 + 7 + 360 = 666.

It is a super-3 number, since 3×469827207360³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 469827207297 and 469827207306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511236981 + ... + 511237899.

Almost surely, 2^469827207360 is an apocalyptic number.

469827207360 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 469827207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969117696000).

469827207360 is an abundant number, since it is smaller than the sum of its proper divisors (1468408184640).

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

469827207360 is a wasteful number, since it uses less digits than its factorization.

469827207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 469827207360 in words is "four hundred sixty-nine billion, eight hundred twenty-seven million, two hundred seven thousand, three hundred sixty".