1465401000 has 256 divisors, whose sum is σ = 5396152320. Its totient is φ = 324000000.

The previous prime is 1465400983. The next prime is 1465401013. The reversal of 1465401000 is 1045641.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649875 + ... + 652125.

It is an arithmetic number, because the mean of its divisors is an integer number (21078720).

Almost surely, 2^1465401000 is an apocalyptic number.

1465401000 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 1465401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698076160).

1465401000 is an abundant number, since it is smaller than the sum of its proper divisors (3930751320).

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

1465401000 is a wasteful number, since it uses less digits than its factorization.

1465401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1465401000 is about 38280.5564222883. The cubic root of 1465401000 is about 1135.8443651264.

Adding to 1465401000 its reverse (1045641), we get a palindrome (1466446641).

The spelling of 1465401000 in words is "one billion, four hundred sixty-five million, four hundred one thousand".