1455413000 has 64 divisors (see below), whose sum is σ = 3423766320. Its totient is φ = 579072000.

The previous prime is 1455412963. The next prime is 1455413009. The reversal of 1455413000 is 3145541.

It can be written as a sum of positive squares in 8 ways, for example, as 44809636 + 1410603364 = 6694^2 + 37558^2 .

It is not an unprimeable number, because it can be changed into a prime (1455413009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189230 + ... + 196770.

Almost surely, 2^1455413000 is an apocalyptic number.

1455413000 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 1455413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711883160).

1455413000 is an abundant number, since it is smaller than the sum of its proper divisors (1968353320).

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

1455413000 is a wasteful number, since it uses less digits than its factorization.

1455413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1455413000 is about 38149.8754912778. The cubic root of 1455413000 is about 1133.2578861732.

Adding to 1455413000 its reverse (3145541), we get a palindrome (1458558541).

It can be divided in two parts, 145 and 5413000, that added together give a palindrome (5413145).

The spelling of 1455413000 in words is "one billion, four hundred fifty-five million, four hundred thirteen thousand".