546953472 has 180 divisors, whose sum is σ = 1757237020. Its totient is φ = 168210432.

The previous prime is 546953443. The next prime is 546953479. The reversal of 546953472 is 274359645.

546953472 is a `hidden beast` number, since 5 + 46 + 9 + 534 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355850496 + 191102976 = 18864^2 + 13824^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (546953479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268554 + ... + 270582.

Almost surely, 2^546953472 is an apocalyptic number.

546953472 is a gapful number since it is divisible by the number (52) 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 546953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878618510).

546953472 is an abundant number, since it is smaller than the sum of its proper divisors (1210283548).

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

546953472 is a wasteful number, since it uses less digits than its factorization.

546953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2047 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 546953472 is about 23387.0364090878. The cubic root of 546953472 is about 817.8056899036.

The spelling of 546953472 in words is "five hundred forty-six million, nine hundred fifty-three thousand, four hundred seventy-two".