403782480 has 240 divisors, whose sum is σ = 1455442560. Its totient is φ = 100058112.

The previous prime is 403782439. The next prime is 403782481. The reversal of 403782480 is 84287304.

403782480 is a `hidden beast` number, since 40 + 378 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403782481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612391 + ... + 613049.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^403782480 is an apocalyptic number.

403782480 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 403782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

403782480 is an abundant number, since it is smaller than the sum of its proper divisors (1051660080).

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

403782480 is a wasteful number, since it uses less digits than its factorization.

403782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

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

The square root of 403782480 is about 20094.3395014616. The cubic root of 403782480 is about 739.1214799657.

The spelling of 403782480 in words is "four hundred three million, seven hundred eighty-two thousand, four hundred eighty".