1485901440 has 192 divisors, whose sum is σ = 5216351400. Its totient is φ = 389652480.

The previous prime is 1485901423. The next prime is 1485901447. The reversal of 1485901440 is 441095841.

1485901440 is a `hidden beast` number, since 14 + 8 + 590 + 14 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1256560704 + 229340736 = 35448^2 + 15144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1485901440³ (a number of 28 digits) contains 333 as substring.

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 = 1485901395 and 1485901404.

It is not an unprimeable number, because it can be changed into a prime (1485901447) 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, 349246 + ... + 353474.

Almost surely, 2^1485901440 is an apocalyptic number.

1485901440 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 1485901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608175700).

1485901440 is an abundant number, since it is smaller than the sum of its proper divisors (3730449960).

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

1485901440 is a wasteful number, since it uses less digits than its factorization.

1485901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1485901440 is about 38547.3921296889. The cubic root of 1485901440 is about 1141.1165422715.

The spelling of 1485901440 in words is "one billion, four hundred eighty-five million, nine hundred one thousand, four hundred forty".