618900480 has 528 divisors, whose sum is σ = 2482929120. Its totient is φ = 145981440.

The previous prime is 618900463. The next prime is 618900481. The reversal of 618900480 is 84009816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

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 (618900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16727022 + ... + 16727058.

Almost surely, 2^618900480 is an apocalyptic number.

618900480 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 618900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241464560).

618900480 is an abundant number, since it is smaller than the sum of its proper divisors (1864028640).

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

618900480 is a wasteful number, since it uses less digits than its factorization.

618900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 618900480 is about 24877.7105055911. The cubic root of 618900480 is about 852.1975340440.

The spelling of 618900480 in words is "six hundred eighteen million, nine hundred thousand, four hundred eighty".