1481204340 has 384 divisors, whose sum is σ = 5870592000. Its totient is φ = 307359360.

The previous prime is 1481204323. The next prime is 1481204353. The reversal of 1481204340 is 434021841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037057 + ... + 2037783.

It is an arithmetic number, because the mean of its divisors is an integer number (15288000).

Almost surely, 2^1481204340 is an apocalyptic number.

1481204340 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 1481204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296000).

1481204340 is an abundant number, since it is smaller than the sum of its proper divisors (4389387660).

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

1481204340 is a wasteful number, since it uses less digits than its factorization.

1481204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1481204340 is about 38486.4176041367. The cubic root of 1481204340 is about 1139.9128742279.

It can be divided in two parts, 1481204 and 340, that added together give a cube (1481544 = 114³).

The spelling of 1481204340 in words is "one billion, four hundred eighty-one million, two hundred four thousand, three hundred forty".