1502420400 has 720 divisors, whose sum is σ = 6170542560. Its totient is φ = 348364800.

The previous prime is 1502420399. The next prime is 1502420411. The reversal of 1502420400 is 40242051.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36644380 + ... + 36644420.

It is an arithmetic number, because the mean of its divisors is an integer number (8570198).

Almost surely, 2^1502420400 is an apocalyptic number.

1502420400 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 1502420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085271280).

1502420400 is an abundant number, since it is smaller than the sum of its proper divisors (4668122160).

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

1502420400 is a wasteful number, since it uses less digits than its factorization.

1502420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1502420400 is about 38761.0680967385. The cubic root of 1502420400 is about 1145.3296153174.

Adding to 1502420400 its reverse (40242051), we get a palindrome (1542662451).

The spelling of 1502420400 in words is "one billion, five hundred two million, four hundred twenty thousand, four hundred".