510006402 has 64 divisors (see below), whose sum is σ = 1165824000. Its totient is φ = 165173904.

The previous prime is 510006361. The next prime is 510006461. The reversal of 510006402 is 204600015.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 554499 + ... + 555417.

It is an arithmetic number, because the mean of its divisors is an integer number (18216000).

Almost surely, 2^510006402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510006402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582912000).

510006402 is an abundant number, since it is smaller than the sum of its proper divisors (655817598).

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

510006402 is a wasteful number, since it uses less digits than its factorization.

510006402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

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

The square root of 510006402 is about 22583.3213234900. The cubic root of 510006402 is about 798.9603171180.

Adding to 510006402 its reverse (204600015), we get a palindrome (714606417).

The spelling of 510006402 in words is "five hundred ten million, six thousand, four hundred two".