1505780400 has 240 divisors, whose sum is σ = 5117747840. Its totient is φ = 377395200.

The previous prime is 1505780377. The next prime is 1505780401. The reversal of 1505780400 is 40875051.

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

It is a super-2 number, since 2×1505780400² = 4534749226048320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1505780401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810644 + ... + 4810956.

Almost surely, 2^1505780400 is an apocalyptic number.

1505780400 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 1505780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558873920).

1505780400 is an abundant number, since it is smaller than the sum of its proper divisors (3611967440).

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

1505780400 is a wasteful number, since it uses less digits than its factorization.

1505780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1505780400 is about 38804.3863499991. The cubic root of 1505780400 is about 1146.1827813803.

The spelling of 1505780400 in words is "one billion, five hundred five million, seven hundred eighty thousand, four hundred".