1245201408 has 264 divisors, whose sum is σ = 4000591296. Its totient is φ = 369868800.

The previous prime is 1245201401. The next prime is 1245201421. The reversal of 1245201408 is 8041025421.

1245201408 is a `hidden beast` number, since 12 + 45 + 201 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (1245201401) 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, 7197610 + ... + 7197782.

Almost surely, 2^1245201408 is an apocalyptic number.

1245201408 is a gapful number since it is divisible by the number (18) 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 1245201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000295648).

1245201408 is an abundant number, since it is smaller than the sum of its proper divisors (2755389888).

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

1245201408 is a wasteful number, since it uses less digits than its factorization.

1245201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1245201408 is about 35287.4114664139. The cubic root of 1245201408 is about 1075.8371436244.

Adding to 1245201408 its reverse (8041025421), we get a palindrome (9286226829).

The spelling of 1245201408 in words is "one billion, two hundred forty-five million, two hundred one thousand, four hundred eight".