1520006400 has 324 divisors, whose sum is σ = 5930870400. Its totient is φ = 368332800.

The previous prime is 1520006387. The next prime is 1520006401. The reversal of 1520006400 is 46000251.

It is a happy number.

1520006400 is a `hidden beast` number, since 1 + 5 + 20 + 0 + 0 + 640 + 0 = 666.

It is a super-3 number, since 3×1520006400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632401 + ... + 634799.

Almost surely, 2^1520006400 is an apocalyptic number.

1520006400 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 1520006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965435200).

1520006400 is an abundant number, since it is smaller than the sum of its proper divisors (4410864000).

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

1520006400 is a wasteful number, since it uses less digits than its factorization.

1520006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1520006400 is about 38987.2594574176. The cubic root of 1520006400 is about 1149.7810295122.

Adding to 1520006400 its reverse (46000251), we get a palindrome (1566006651).

The spelling of 1520006400 in words is "one billion, five hundred twenty million, six thousand, four hundred".