430153272 has 72 divisors (see below), whose sum is σ = 1205324640. Its totient is φ = 138443040.

The previous prime is 430153249. The next prime is 430153277. The reversal of 430153272 is 272351034.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430153277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 979629 + ... + 980067.

It is an arithmetic number, because the mean of its divisors is an integer number (16740620).

Almost surely, 2^430153272 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 430153272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602662320).

430153272 is an abundant number, since it is smaller than the sum of its proper divisors (775171368).

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

430153272 is a wasteful number, since it uses less digits than its factorization.

430153272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 430153272 is about 20740.1367401471. The cubic root of 430153272 is about 754.8739008443.

The spelling of 430153272 in words is "four hundred thirty million, one hundred fifty-three thousand, two hundred seventy-two".