5346954000 has 240 divisors, whose sum is σ = 18830223360. Its totient is φ = 1414022400.

The previous prime is 5346953999. The next prime is 5346954007. The reversal of 5346954000 is 4596435.

It is a happy number.

5346954000 is a `hidden beast` number, since 53 + 4 + 69 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (5346954007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284831 + ... + 2287169.

It is an arithmetic number, because the mean of its divisors is an integer number (78459264).

Almost surely, 2^5346954000 is an apocalyptic number.

5346954000 is a gapful number since it is divisible by the number (50) 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 5346954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415111680).

5346954000 is an abundant number, since it is smaller than the sum of its proper divisors (13483269360).

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

5346954000 is a wasteful number, since it uses less digits than its factorization.

5346954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5346954000 is about 73122.8691997244. The cubic root of 5346954000 is about 1748.6470086424.

The spelling of 5346954000 in words is "five billion, three hundred forty-six million, nine hundred fifty-four thousand".