403740480 has 448 divisors, whose sum is σ = 1603784448. Its totient is φ = 84541440.

The previous prime is 403740479. The next prime is 403740487. The reversal of 403740480 is 84047304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403740487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333674 + ... + 2333846.

It is an arithmetic number, because the mean of its divisors is an integer number (3579876).

Almost surely, 2^403740480 is an apocalyptic number.

403740480 is a gapful number since it is divisible by the number (40) 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 403740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801892224).

403740480 is an abundant number, since it is smaller than the sum of its proper divisors (1200043968).

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

403740480 is a wasteful number, since it uses less digits than its factorization.

403740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 403740480 is about 20093.2944038552. The cubic root of 403740480 is about 739.0958521586.

Adding to 403740480 its reverse (84047304), we get a palindrome (487787784).

The spelling of 403740480 in words is "four hundred three million, seven hundred forty thousand, four hundred eighty".