484650432 has 224 divisors, whose sum is σ = 1648358400. Its totient is φ = 136774656.

The previous prime is 484650427. The next prime is 484650443. The reversal of 484650432 is 234056484.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245694 + ... + 1246082.

Almost surely, 2^484650432 is an apocalyptic number.

484650432 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 484650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824179200).

484650432 is an abundant number, since it is smaller than the sum of its proper divisors (1163707968).

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

484650432 is a wasteful number, since it uses less digits than its factorization.

484650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 484650432 is about 22014.7775823423. Note that the first 3 decimals coincide. The cubic root of 484650432 is about 785.4939928280.

It can be divided in two parts, 4846 and 50432, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 484650432 in words is "four hundred eighty-four million, six hundred fifty thousand, four hundred thirty-two".