614989440 has 384 divisors, whose sum is σ = 2352430080. Its totient is φ = 147087360.

The previous prime is 614989421. The next prime is 614989447. The reversal of 614989440 is 44989416.

614989440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×614989440² = 756424022623027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (614989447) 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, 3219745 + ... + 3219935.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^614989440 is an apocalyptic number.

614989440 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 614989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

614989440 is an abundant number, since it is smaller than the sum of its proper divisors (1737440640).

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

614989440 is a wasteful number, since it uses less digits than its factorization.

614989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 614989440 is about 24798.9806242111. The cubic root of 614989440 is about 850.3986319367.

The spelling of 614989440 in words is "six hundred fourteen million, nine hundred eighty-nine thousand, four hundred forty".