1466252040 has 384 divisors, whose sum is σ = 5392033920. Its totient is φ = 315187200.

The previous prime is 1466252009. The next prime is 1466252041. The reversal of 1466252040 is 402526641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1466251989 and 1466252007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466252041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8100750 + ... + 8100930.

It is an arithmetic number, because the mean of its divisors is an integer number (14041755).

Almost surely, 2^1466252040 is an apocalyptic number.

1466252040 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 1466252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696016960).

1466252040 is an abundant number, since it is smaller than the sum of its proper divisors (3925781880).

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

1466252040 is a wasteful number, since it uses less digits than its factorization.

1466252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1466252040 is about 38291.6706347477. The cubic root of 1466252040 is about 1136.0642052748.

Adding to 1466252040 its reverse (402526641), we get a palindrome (1868778681).

The spelling of 1466252040 in words is "one billion, four hundred sixty-six million, two hundred fifty-two thousand, forty".