735440420 has 144 divisors (see below), whose sum is σ = 1854686064. Its totient is φ = 243302400.

The previous prime is 735440389. The next prime is 735440437. The reversal of 735440420 is 24044537.

It can be written as a sum of positive squares in 8 ways, for example, as 18593344 + 716847076 = 4312^2 + 26774^2 .

It is a super-3 number, since 3×735440420³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051500 + ... + 3051740.

Almost surely, 2^735440420 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 735440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927343032).

735440420 is an abundant number, since it is smaller than the sum of its proper divisors (1119245644).

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

735440420 is a wasteful number, since it uses less digits than its factorization.

735440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 735440420 is about 27119.0047752494. The cubic root of 735440420 is about 902.6426116770.

Adding to 735440420 its reverse (24044537), we get a palindrome (759484957).

It can be divided in two parts, 7354 and 40420, that added together give a palindrome (47774).

The spelling of 735440420 in words is "seven hundred thirty-five million, four hundred forty thousand, four hundred twenty".