545474952 has 256 divisors, whose sum is σ = 1786752000. Its totient is φ = 152409600.

The previous prime is 545474927. The next prime is 545474959. The reversal of 545474952 is 259474545.

545474952 = 123³ + 124³ + ... + 221³.

545474952 is a `hidden beast` number, since 54 + 547 + 4 + 9 + 52 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 545474898 and 545474907.

It is not an unprimeable number, because it can be changed into a prime (545474959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941052 + ... + 1941332.

It is an arithmetic number, because the mean of its divisors is an integer number (6979500).

Almost surely, 2^545474952 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 545474952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893376000).

545474952 is an abundant number, since it is smaller than the sum of its proper divisors (1241277048).

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

545474952 is a wasteful number, since it uses less digits than its factorization.

545474952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 545474952 is about 23355.4051987971. The cubic root of 545474952 is about 817.0681297734.

The spelling of 545474952 in words is "five hundred forty-five million, four hundred seventy-four thousand, nine hundred fifty-two".