1463178240 has 264 divisors, whose sum is σ = 5132942568. Its totient is φ = 385351680.

The previous prime is 1463178187. The next prime is 1463178247. The reversal of 1463178240 is 428713641.

1463178240 is a `hidden beast` number, since 1 + 463 + 178 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 1452524544 = 3264^2 + 38112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1463178195 and 1463178204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463178247) 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, 5206900 + ... + 5207180.

Almost surely, 2^1463178240 is an apocalyptic number.

1463178240 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 1463178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566471284).

1463178240 is an abundant number, since it is smaller than the sum of its proper divisors (3669764328).

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

1463178240 is a wasteful number, since it uses less digits than its factorization.

1463178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1463178240 is about 38251.5129112562. The cubic root of 1463178240 is about 1135.2697813290.

The spelling of 1463178240 in words is "one billion, four hundred sixty-three million, one hundred seventy-eight thousand, two hundred forty".