402641280 has 224 divisors, whose sum is σ = 1444858560. Its totient is φ = 107246592.

The previous prime is 402641269. The next prime is 402641341. The reversal of 402641280 is 82146204.

402641280 = 205² + 206² + ... + 1067².

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466129 + ... + 466991.

Almost surely, 2^402641280 is an apocalyptic number.

402641280 is a gapful number since it is divisible by the number (40) 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 402641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722429280).

402641280 is an abundant number, since it is smaller than the sum of its proper divisors (1042217280).

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

402641280 is an frugal number, since it uses more digits than its factorization.

402641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 402641280 is about 20065.9233527889. The cubic root of 402641280 is about 738.4245029503.

Subtracting from 402641280 its sum of digits (27), we obtain a triangular number (402641253 = T₂₈₃₇₇).

Adding to 402641280 its reverse (82146204), we get a palindrome (484787484).

The spelling of 402641280 in words is "four hundred two million, six hundred forty-one thousand, two hundred eighty".