469948416 has 192 divisors, whose sum is σ = 1467648000. Its totient is φ = 133668864.

The previous prime is 469948411. The next prime is 469948421. The reversal of 469948416 is 614849964.

It is an interprime number because it is at equal distance from previous prime (469948411) and next prime (469948421).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469948411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107281 + ... + 2107503.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^469948416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

469948416 is an abundant number, since it is smaller than the sum of its proper divisors (997699584).

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

469948416 is an equidigital number, since it uses as much as digits as its factorization.

469948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 235 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 469948416 is about 21678.2936597879. The cubic root of 469948416 is about 777.4695643976.

The spelling of 469948416 in words is "four hundred sixty-nine million, nine hundred forty-eight thousand, four hundred sixteen".