534954240 has 288 divisors, whose sum is σ = 1983824640. Its totient is φ = 136249344.

The previous prime is 534954229. The next prime is 534954241. The reversal of 534954240 is 42459435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 534954195 and 534954204.

It is not an unprimeable number, because it can be changed into a prime (534954241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794544 + ... + 795216.

It is an arithmetic number, because the mean of its divisors is an integer number (6888280).

Almost surely, 2^534954240 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 534954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991912320).

534954240 is an abundant number, since it is smaller than the sum of its proper divisors (1448870400).

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

534954240 is a wasteful number, since it uses less digits than its factorization.

534954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 534954240 is about 23129.0778026276. The cubic root of 534954240 is about 811.7809920006.

The spelling of 534954240 in words is "five hundred thirty-four million, nine hundred fifty-four thousand, two hundred forty".