614748420 has 384 divisors, whose sum is σ = 2370816000. Its totient is φ = 130014720.

The previous prime is 614748419. The next prime is 614748427. The reversal of 614748420 is 24847416.

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 (614748427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1466971 + ... + 1467389.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2^614748420 is an apocalyptic number.

614748420 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 614748420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408000).

614748420 is an abundant number, since it is smaller than the sum of its proper divisors (1756067580).

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

614748420 is a wasteful number, since it uses less digits than its factorization.

614748420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 614748420 is about 24794.1206740630. The cubic root of 614748420 is about 850.2875244138.

The spelling of 614748420 in words is "six hundred fourteen million, seven hundred forty-eight thousand, four hundred twenty".