469873152 has 180 divisors, whose sum is σ = 1578245526. Its totient is φ = 134184960.

The previous prime is 469873133. The next prime is 469873163. The reversal of 469873152 is 251378964.

It can be written as a sum of positive squares in only one way, i.e., 420086016 + 49787136 = 20496^2 + 7056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 469873098 and 469873107.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224752 + ... + 226832.

Almost surely, 2^469873152 is an apocalyptic number.

469873152 is a gapful number since it is divisible by the number (42) 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 469873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789122763).

469873152 is an abundant number, since it is smaller than the sum of its proper divisors (1108372374).

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

469873152 is a wasteful number, since it uses less digits than its factorization.

469873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2093 counting only the distinct ones).

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

The square root of 469873152 is about 21676.5576602928. The cubic root of 469873152 is about 777.4280572936.

The spelling of 469873152 in words is "four hundred sixty-nine million, eight hundred seventy-three thousand, one hundred fifty-two".