1290150400 has 540 divisors, whose sum is σ = 4327492554. Its totient is φ = 378470400.

The previous prime is 1290150397. The next prime is 1290150409. The reversal of 1290150400 is 40510921.

It can be written as a sum of positive squares in 3 ways, for example, as 1106493696 + 183656704 = 33264^2 + 13552^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290150409) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 75891192 + ... + 75891208.

Almost surely, 2^1290150400 is an apocalyptic number.

1290150400 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 1290150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163746277).

1290150400 is an abundant number, since it is smaller than the sum of its proper divisors (3037342154).

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

1290150400 is a wasteful number, since it uses less digits than its factorization.

1290150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1290150400 is about 35918.6636722471. The cubic root of 1290150400 is about 1088.6295376280.

The spelling of 1290150400 in words is "one billion, two hundred ninety million, one hundred fifty thousand, four hundred".