1382100480 has 240 divisors, whose sum is σ = 4825941120. Its totient is φ = 365543424.

The previous prime is 1382100469. The next prime is 1382100481. The reversal of 1382100480 is 840012831.

1382100480 is a `hidden beast` number, since 1 + 3 + 82 + 100 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382100481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5137786 + ... + 5138054.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^1382100480 is an apocalyptic number.

1382100480 is a gapful number since it is divisible by the number (10) 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 1382100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412970560).

1382100480 is an abundant number, since it is smaller than the sum of its proper divisors (3443840640).

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

1382100480 is a wasteful number, since it uses less digits than its factorization.

1382100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1382100480 is about 37176.6120027094. The cubic root of 1382100480 is about 1113.9008600493.

The spelling of 1382100480 in words is "one billion, three hundred eighty-two million, one hundred thousand, four hundred eighty".