468038592 has 336 divisors, whose sum is σ = 1648358400. Its totient is φ = 126669312.

The previous prime is 468038587. The next prime is 468038633. The reversal of 468038592 is 295830864.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4544013 + ... + 4544115.

Almost surely, 2^468038592 is an apocalyptic number.

468038592 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 468038592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824179200).

468038592 is an abundant number, since it is smaller than the sum of its proper divisors (1180319808).

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

468038592 is a wasteful number, since it uses less digits than its factorization.

468038592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 468038592 is about 21634.1995923122. The cubic root of 468038592 is about 776.4149479495.

The spelling of 468038592 in words is "four hundred sixty-eight million, thirty-eight thousand, five hundred ninety-two".