735942480 has 320 divisors, whose sum is σ = 2901147648. Its totient is φ = 150128640.

The previous prime is 735942437. The next prime is 735942481. The reversal of 735942480 is 84249537.

It is a super-2 number, since 2×735942480² = 1083222667737100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735942481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 676497 + ... + 677583.

Almost surely, 2^735942480 is an apocalyptic number.

735942480 is a gapful number since it is divisible by the number (70) 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 735942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450573824).

735942480 is an abundant number, since it is smaller than the sum of its proper divisors (2165205168).

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

735942480 is a wasteful number, since it uses less digits than its factorization.

735942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 735942480 is about 27128.2598041231. The cubic root of 735942480 is about 902.8479660256.

The spelling of 735942480 in words is "seven hundred thirty-five million, nine hundred forty-two thousand, four hundred eighty".