6046952400 has 480 divisors, whose sum is σ = 22833360000. Its totient is φ = 1517322240.

The previous prime is 6046952399. The next prime is 6046952441. The reversal of 6046952400 is 42596406.

6046952400 is a `hidden beast` number, since 604 + 6 + 9 + 5 + 2 + 40 + 0 = 666.

It is a super-3 number, since 3×6046952400³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13467376 + ... + 13467824.

It is an arithmetic number, because the mean of its divisors is an integer number (47569500).

Almost surely, 2^6046952400 is an apocalyptic number.

6046952400 is a gapful number since it is divisible by the number (60) 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 6046952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416680000).

6046952400 is an abundant number, since it is smaller than the sum of its proper divisors (16786407600).

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

6046952400 is a wasteful number, since it uses less digits than its factorization.

6046952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6046952400 is about 77762.1527479789. The cubic root of 6046952400 is about 1821.8481809330.

The spelling of 6046952400 in words is "six billion, forty-six million, nine hundred fifty-two thousand, four hundred".