614428416 has 432 divisors, whose sum is σ = 2249904384. Its totient is φ = 163233792.

The previous prime is 614428393. The next prime is 614428439. The reversal of 614428416 is 614824416.

It is a happy number.

614428416 is a `hidden beast` number, since 614 + 4 + 28 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (614428393) and next prime (614428439).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7402711 + ... + 7402793.

It is an arithmetic number, because the mean of its divisors is an integer number (5208112).

Almost surely, 2^614428416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124952192).

614428416 is an abundant number, since it is smaller than the sum of its proper divisors (1635475968).

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

614428416 is an equidigital number, since it uses as much as digits as its factorization.

614428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 614428416 is about 24787.6666106352. Note that the first 4 decimals coincide. The cubic root of 614428416 is about 850.1399612664.

The spelling of 614428416 in words is "six hundred fourteen million, four hundred twenty-eight thousand, four hundred sixteen".