1535120400 has 240 divisors, whose sum is σ = 5680939968. Its totient is φ = 350208000.

The previous prime is 1535120393. The next prime is 1535120429. The reversal of 1535120400 is 40215351.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220980 + ... + 227820.

Almost surely, 2^1535120400 is an apocalyptic number.

1535120400 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 1535120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840469984).

1535120400 is an abundant number, since it is smaller than the sum of its proper divisors (4145819568).

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

1535120400 is a wasteful number, since it uses less digits than its factorization.

1535120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1535120400 is about 39180.6125526388. The cubic root of 1535120400 is about 1153.5793706631.

Adding to 1535120400 its reverse (40215351), we get a palindrome (1575335751).

The spelling of 1535120400 in words is "one billion, five hundred thirty-five million, one hundred twenty thousand, four hundred".