4654142400 has 168 divisors, whose sum is σ = 15334268544. Its totient is φ = 1235840000.

The previous prime is 4654142357. The next prime is 4654142407. The reversal of 4654142400 is 42414564.

It is a happy number.

It is a super-3 number, since 3×4654142400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4654142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202869 + ... + 1206731.

It is an arithmetic number, because the mean of its divisors is an integer number (91275408).

Almost surely, 2^4654142400 is an apocalyptic number.

4654142400 is a gapful number since it is divisible by the number (40) 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 4654142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667134272).

4654142400 is an abundant number, since it is smaller than the sum of its proper divisors (10680126144).

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

4654142400 is a wasteful number, since it uses less digits than its factorization.

4654142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4654142400 is about 68221.2752739202. The cubic root of 4654142400 is about 1669.6030227607.

Adding to 4654142400 its reverse (42414564), we get a palindrome (4696556964).

The spelling of 4654142400 in words is "four billion, six hundred fifty-four million, one hundred forty-two thousand, four hundred".